{"id":924,"date":"2026-01-02T15:43:20","date_gmt":"2026-01-02T05:43:20","guid":{"rendered":"https:\/\/archive4ones.com\/2ndstudy\/?p=924"},"modified":"2026-01-02T20:19:53","modified_gmt":"2026-01-02T10:19:53","slug":"year11-math-1-1-textbook","status":"publish","type":"post","link":"https:\/\/archive4ones.com\/2ndstudy\/?p=924","title":{"rendered":"Year11-MATH-1-1-Textbook"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">For a student who has excelled in Year 10 Mathematics but is choosing the <strong>Essential Mathematics (Applied)<\/strong> pathway, the challenge isn&#8217;t the difficulty of the operations, but the <strong>depth of the application<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">While the standard curriculum focuses on basic competency, a textbook for a high-achieving student should focus on <strong>Precision, Optimization, and Financial Strategy<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Below is a proposed textbook structure for <strong>Year 11 Essential Mathematics (Units 1 &amp; 2)<\/strong>, specifically designed for students who want to master the &#8220;math of power&#8221; in trades, business, and logistics.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Textbook: Precision &amp; Application<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">The High-Achiever\u2019s Guide to QCAA Essential Mathematics<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Unit 1: Number, Data, and Graphs<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Focus: Mastering the tools of trade and technical measurement.<\/em><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 1: The Calculus of Calculations<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Percentages, rates, and absolute error.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> Moving beyond basic arithmetic to <strong>error propagation<\/strong>. How a 1% error in measurement affects the volume and cost of a large-scale construction project.<\/li>\n\n\n\n<li><strong>Topic:<\/strong> Optimizing unit prices for bulk logistics vs. just-in-time delivery.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 2: Precision Measurement &amp; Geometry<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Pythagoras\u2019 theorem, area, and volume of composite shapes.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> Advanced <strong>mensuration<\/strong>. Calculating the surface area of complex architectural features and the volume of irregular containers using displacement theory.<\/li>\n\n\n\n<li><strong>Formula Focus:<\/strong>  <math data-latex=\"V_{prism} = Ah\"><semantics><mrow><msub><mi>V<\/mi><mrow><mi>p<\/mi><mi>r<\/mi><mi>i<\/mi><mi>s<\/mi><mi>m<\/mi><\/mrow><\/msub><mo>=<\/mo><mi>A<\/mi><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_{prism} = Ah<\/annotation><\/semantics><\/math>             <math data-latex=\"V_{cylinder} = \\pi r^2 h\"><semantics><mrow><msub><mi>V<\/mi><mrow><mi>c<\/mi><mi>y<\/mi><mi>l<\/mi><mi>i<\/mi><mi>n<\/mi><mi>d<\/mi><mi>e<\/mi><mi>r<\/mi><\/mrow><\/msub><mo>=<\/mo><mi>\u03c0<\/mi><msup><mi>r<\/mi><mn>2<\/mn><\/msup><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_{cylinder} = \\pi r^2 h<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 3: Algebraic Modeling (The Language of Formulas)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Substitution and rearranging formulas for a single variable.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> Developing your own formulas from scratch. How to create a &#8220;Cost of Production&#8221; formula that includes variable labor rates, material waste, and GST.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 4: Data Storytelling &amp; Interpretation<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Interpreting tables, charts, and graphs.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> Identifying <strong>statistical bias<\/strong>. Learning how data is manipulated in marketing and political infographics, and how to represent &#8220;clean&#8221; data for business reporting.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Unit 2: Travel, Data, and Money<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Focus: Mastering the math of logistics and financial independence.<\/em><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 5: Logistics: Time and Motion<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Speed, distance, and 24-hour time across time zones.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> Complex logistics. Solving the &#8220;Traveling Salesman&#8221; problem on a small scale\u2014optimizing a delivery route for five different locations while accounting for fuel consumption rates (<br>L\/100km) and driver fatigue regulations.<\/li>\n\n\n\n<li><strong>Formula Focus:<\/strong>     <math data-latex=\"Average Speed = \\frac{\\text{Distance}}{\\text{Time}}\"><semantics><mrow><mi>A<\/mi><mi>v<\/mi><mi>e<\/mi><mi>r<\/mi><mi>a<\/mi><mi>g<\/mi><mi>e<\/mi><mi>S<\/mi><mi>p<\/mi><mi>e<\/mi><mi>e<\/mi><mi>d<\/mi><mo>=<\/mo><mfrac><mtext>Distance<\/mtext><mtext>Time<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">Average Speed = \\frac{\\text{Distance}}{\\text{Time}}<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 6: Strategic Finance: Managing Money<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Wages, tax brackets, and simple interest.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> <strong>Tax optimization<\/strong>. Understanding how &#8220;Effective Tax Rates&#8221; differ from &#8220;Marginal Tax Rates.&#8221; Modeling the long-term impact of salary sacrificing vs. high-interest savings.<\/li>\n\n\n\n<li><strong>Topic:<\/strong> Comparison of credit card debt vs. personal loans using daily interest calculations.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Chapter 7: Bivariate Data (Relationship Mapping)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Core:<\/strong> Identifying trends and patterns in data sets.<\/li>\n\n\n\n<li><strong>The &#8220;High Achiever&#8221; Edge:<\/strong> <strong>Correlation vs. Causation<\/strong>. Learning to use scatter plots to find the &#8220;Line of Best Fit&#8221; for business trends and using it to make 12-month projections.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">The &#8220;Assessment Master&#8221; Section (Unit 1 &amp; 2)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">For an excellent student, the grade is won in the <strong>Problem-Solving and Modelling Task (PSMT)<\/strong>. This section of our textbook includes:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Formulating:<\/strong> How to write high-level assumptions (e.g., &#8220;Assuming a 3% inflation rate for material costs&#8221;).<\/li>\n\n\n\n<li><strong>Evaluating:<\/strong> How to critique your own solution. &#8220;My model is 95% accurate, but it fails to account for extreme weather delays in the logistics schedule.&#8221;<\/li>\n\n\n\n<li><strong>Refining:<\/strong> Using digital tools (Excel\/Google Sheets) to automate your calculations for a professional-grade report.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">A Sample &#8220;Level A&#8221; Challenge<\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>The Problem:<\/strong>You are a contractor for a $20,000 renovation. You have two suppliers. Supplier A offers 15% off the total but charges a $500 delivery fee. Supplier B offers no discount but has free delivery and a 5% &#8220;Loyalty Rebate&#8221; on future orders.<\/p>\n<\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">The Essential Task: Calculate the cheaper option for this job.<\/p>\n<\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">The High-Achiever Task: Create a spreadsheet model that determines the &#8220;Break-Even Point&#8221; where Supplier B becomes more profitable than Supplier A over three separate jobs.<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Would you like me to generate a specific practice exam or a &#8220;Cheat Sheet&#8221; for the Unit 1 Formulas used in this subject?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">********************************************************************************************************************************************************<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>10<\/strong>\u5e74\u751f\u306e\u6570\u5b66\u3067\u512a\u79c0\u306a\u6210\u7e3e\u3092\u53ce\u3081\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001<strong>**<\/strong>\u57fa\u790e\u6570\u5b66\uff08\u5fdc\u7528\uff09<strong>**<\/strong>\u306e\u30b3\u30fc\u30b9\u3092\u9078\u629e\u3059\u308b\u751f\u5f92\u306b\u3068\u3063\u3066\u3001\u8ab2\u984c\u3068\u306a\u308b\u306e\u306f\u8a08\u7b97\u306e\u96e3\u3057\u3055\u3067\u306f\u306a\u304f\u3001<strong>**<\/strong>\u5fdc\u7528\u306e\u6df1\u3055<strong>**<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6a19\u6e96\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u306f\u57fa\u790e\u80fd\u529b\u306b\u91cd\u70b9\u3092\u7f6e\u3044\u3066\u3044\u307e\u3059\u304c\u3001\u6210\u7e3e\u512a\u79c0\u306a\u751f\u5f92\u5411\u3051\u306e\u6559\u79d1\u66f8\u306f<strong>**<\/strong>\u7cbe\u5ea6\u3001\u6700\u9069\u5316\u3001\u8ca1\u52d9\u6226\u7565<strong>**<\/strong>\u306b\u91cd\u70b9\u3092\u7f6e\u304f\u3079\u304d\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u4e0b\u306f\u3001\u8cbf\u6613\u3001\u30d3\u30b8\u30cd\u30b9\u3001\u7269\u6d41\u306b\u304a\u3051\u308b\u300c\u529b\u306e\u6570\u5b66\u300d\u3092\u7fd2\u5f97\u3057\u305f\u3044\u751f\u5f92\u5411\u3051\u306b\u7279\u5225\u306b\u8a2d\u8a08\u3055\u308c\u305f\u3001<strong>**11<\/strong>\u5e74\u751f\u57fa\u790e\u6570\u5b66\uff08\u30e6\u30cb\u30c3\u30c8<strong>1<\/strong>\uff06<strong>2<\/strong>\uff09<strong>**<\/strong>\u306e\u6559\u79d1\u66f8\u69cb\u6210\u6848\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8212;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong># <\/strong>\u6559\u79d1\u66f8\uff1a\u7cbe\u5bc6\u6e2c\u5b9a\u3068\u5fdc\u7528<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>## <\/strong>\u9ad8\u7b49\u5b66\u7fd2\u8005\u306e\u305f\u3081\u306e<strong>QCAA<\/strong>\u5fc5\u9808\u6570\u5b66\u30ac\u30a4\u30c9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>### <\/strong><strong>\u30e6\u30cb\u30c3\u30c8<\/strong><strong>1<\/strong>\uff1a\u6570\u3001\u30c7\u30fc\u30bf\u3001\u30b0\u30e9\u30d5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>*<\/strong>\u7126\u70b9\uff1a\u53d6\u5f15\u30c4\u30fc\u30eb\u3068\u6280\u8853\u7684\u6e2c\u5b9a\u306e\u7fd2\u5f97\u3002<strong>*<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>1<\/strong>\u7ae0\uff1a\u8a08\u7b97\u306e\u5fae\u7a4d\u5206<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u30d1\u30fc\u30bb\u30f3\u30c6\u30fc\u30b8\u3001\u7387\u3001\u7d76\u5bfe\u8aa4\u5dee\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u9ad8\u7b49\u5b66\u7fd2\u8005\u300d\u306e\u5f37\u307f\uff1a<strong>** <\/strong>\u57fa\u672c\u7684\u306a\u7b97\u8853\u304b\u3089<strong>**<\/strong>\u8aa4\u5dee\u306e\u4f1d\u64ad<strong>**<\/strong>\u3078\u3002\u6e2c\u5b9a\u306b\u304a\u3051\u308b<strong>1%<\/strong>\u306e\u8aa4\u5dee\u304c\u3001\u5927\u898f\u6a21\u5efa\u8a2d\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306e\u6570\u91cf\u3068\u30b3\u30b9\u30c8\u306b\u3069\u306e\u3088\u3046\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30c8\u30d4\u30c3\u30af\uff1a<strong>** <\/strong>\u30d0\u30eb\u30af\u7269\u6d41\u3068\u30b8\u30e3\u30b9\u30c8\u30a4\u30f3\u30bf\u30a4\u30e0\u914d\u9001\u306b\u304a\u3051\u308b\u5358\u4fa1\u306e\u6700\u9069\u5316\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>2<\/strong>\u7ae0\uff1a\u7cbe\u5bc6\u6e2c\u5b9a\u3068\u5e7e\u4f55\u5b66<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3001\u9762\u7a4d\u3001\u8907\u5408\u5f62\u72b6\u306e\u4f53\u7a4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u30cf\u30a4\u30a2\u30c1\u30fc\u30d0\u30fc\u300d\u306e\u5f37\u307f\uff1a<strong>** <\/strong>\u9ad8\u5ea6\u306a<strong>**<\/strong>\u8a08\u6e2c<strong>**<\/strong>\u3002\u8907\u96d1\u306a\u5efa\u7bc9\u7269\u306e\u8868\u9762\u7a4d\u3068\u3001\u5909\u4f4d\u7406\u8ad6\u3092\u7528\u3044\u305f\u4e0d\u898f\u5247\u306a\u5bb9\u5668\u306e\u5bb9\u7a4d\u306e\u8a08\u7b97\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u6570\u5f0f\u3078\u306e\u30d5\u30a9\u30fc\u30ab\u30b9\uff1a<strong>**<\/strong>  <math data-latex=\"V_{prism} = Ah        \"><semantics><mrow><msub><mi>V<\/mi><mrow><mi>p<\/mi><mi>r<\/mi><mi>i<\/mi><mi>s<\/mi><mi>m<\/mi><\/mrow><\/msub><mo>=<\/mo><mi>A<\/mi><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_{prism} = Ah        <\/annotation><\/semantics><\/math>          <math data-latex=\"    V_{cylinder} = \\pi r^2 h\"><semantics><mrow><msub><mi>V<\/mi><mrow><mi>c<\/mi><mi>y<\/mi><mi>l<\/mi><mi>i<\/mi><mi>n<\/mi><mi>d<\/mi><mi>e<\/mi><mi>r<\/mi><\/mrow><\/msub><mo>=<\/mo><mi>\u03c0<\/mi><msup><mi>r<\/mi><mn>2<\/mn><\/msup><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">    V_{cylinder} = \\pi r^2 h<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>3<\/strong>\u7ae0\uff1a\u4ee3\u6570\u30e2\u30c7\u30ea\u30f3\u30b0\uff08\u6570\u5f0f\u8a00\u8a9e\uff09<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u5358\u4e00\u5909\u6570\u306e\u6570\u5f0f\u306e\u4ee3\u5165\u3068\u4e26\u3079\u66ff\u3048\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u30cf\u30a4\u30a2\u30c1\u30fc\u30d0\u30fc\u300d\u306e\u5f37\u307f\uff1a<strong>** <\/strong>\u72ec\u81ea\u306e\u6570\u5f0f\u3092\u30bc\u30ed\u304b\u3089\u958b\u767a\u3002\u5909\u52d5\u52b4\u50cd\u5358\u4fa1\u3001\u6750\u6599\u5ec3\u68c4\u3001<strong>GST<\/strong>\u3092\u8003\u616e\u3057\u305f\u300c\u751f\u7523\u30b3\u30b9\u30c8\u300d\u6570\u5f0f\u306e\u4f5c\u6210\u65b9\u6cd5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>4<\/strong>\u7ae0\uff1a\u30c7\u30fc\u30bf\u30b9\u30c8\u30fc\u30ea\u30fc\u30c6\u30ea\u30f3\u30b0\u3068\u89e3\u91c8<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u8868\u3001\u30c1\u30e3\u30fc\u30c8\u3001\u30b0\u30e9\u30d5\u306e\u89e3\u91c8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u30cf\u30a4\u30a2\u30c1\u30fc\u30d0\u30fc\u300d\u306e\u5f37\u307f\uff1a<strong>** **<\/strong>\u7d71\u8a08\u7684\u30d0\u30a4\u30a2\u30b9<strong>**<\/strong>\u306e\u7279\u5b9a\u3002\u30de\u30fc\u30b1\u30c6\u30a3\u30f3\u30b0\u3084\u653f\u6cbb\u95a2\u9023\u306e\u30a4\u30f3\u30d5\u30a9\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u306b\u304a\u3051\u308b\u30c7\u30fc\u30bf\u64cd\u4f5c\u65b9\u6cd5\u3001\u305d\u3057\u3066\u30d3\u30b8\u30cd\u30b9\u30ec\u30dd\u30fc\u30c8\u306b\u304a\u3051\u308b\u300c\u30af\u30ea\u30fc\u30f3\u300d\u306a\u30c7\u30fc\u30bf\u306e\u8868\u73fe\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8212;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>### <\/strong>\u30e6\u30cb\u30c3\u30c8<strong>2<\/strong>\uff1a\u65c5\u884c\u3001\u30c7\u30fc\u30bf\u3001\u305d\u3057\u3066\u304a\u91d1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>*<\/strong>\u7126\u70b9\uff1a\u7269\u6d41\u3068\u7d4c\u6e08\u7684\u81ea\u7acb\u306b\u95a2\u3059\u308b\u6570\u5b66\u306e\u7fd2\u5f97\u3002<strong>*<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>5<\/strong>\u7ae0\uff1a\u7269\u6d41\uff1a\u6642\u9593\u3068\u52d5\u304d<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u30bf\u30a4\u30e0\u30be\u30fc\u30f3\u3092\u307e\u305f\u3044\u3060\u901f\u5ea6\u3001\u8ddd\u96e2\u3001<strong>24<\/strong>\u6642\u9593\u5236\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u30cf\u30a4\u30a2\u30c1\u30fc\u30d0\u30fc\u300d\u306e\u5f37\u307f\uff1a<strong>** <\/strong>\u8907\u96d1\u306a\u7269\u6d41\u3002\u5c0f\u898f\u6a21\u306a\u300c\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u300d\u306e\u89e3\u6c7a\u3002\u71c3\u6599\u6d88\u8cbb\u7387\uff08\uff09\u3068\u30c9\u30e9\u30a4\u30d0\u30fc\u306e\u75b2\u52b4\u898f\u5236\u3092\u8003\u616e\u3057\u306a\u304c\u3089\u3001<strong>5<\/strong>\u3064\u306e\u7570\u306a\u308b\u5834\u6240\u3078\u306e\u914d\u9001\u30eb\u30fc\u30c8\u3092\u6700\u9069\u5316\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u6570\u5f0f\u3078\u306e\u7126\u70b9\uff1a<strong>**<\/strong>             <math data-latex=\"Average Speed = \\frac{\\text{Distance}}{\\text{Time}}\"><semantics><mrow><mi>A<\/mi><mi>v<\/mi><mi>e<\/mi><mi>r<\/mi><mi>a<\/mi><mi>g<\/mi><mi>e<\/mi><mi>S<\/mi><mi>p<\/mi><mi>e<\/mi><mi>e<\/mi><mi>d<\/mi><mo>=<\/mo><mfrac><mtext>Distance<\/mtext><mtext>Time<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">Average Speed = \\frac{\\text{Distance}}{\\text{Time}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>6<\/strong>\u7ae0\uff1a\u6226\u7565\u7684\u8ca1\u52d9\uff1a\u8cc7\u91d1\u7ba1\u7406<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2\uff1a<strong>** <\/strong>\u8cc3\u91d1\u3001\u7a0e\u7387\u533a\u5206\u3001\u5358\u5229\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u30cf\u30a4\u30a2\u30c1\u30fc\u30d0\u30fc\u300d\u306e\u5f37\u307f\uff1a<strong>** **<\/strong>\u7a0e\u91d1\u306e\u6700\u9069\u5316<strong>**<\/strong>\u3002 \u300c\u5b9f\u52b9\u7a0e\u7387\u300d\u3068\u300c\u9650\u754c\u7a0e\u7387\u300d\u306e\u9055\u3044\u3092\u7406\u89e3\u3059\u308b\u3002\u7d66\u4e0e\u5929\u5f15\u304d\u3068\u9ad8\u91d1\u5229\u8caf\u84c4\u306e\u9577\u671f\u7684\u306a\u5f71\u97ff\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30c8\u30d4\u30c3\u30af<strong>:** <\/strong>\u30af\u30ec\u30b8\u30c3\u30c8\u30ab\u30fc\u30c9\u50b5\u52d9\u3068\u500b\u4eba\u30ed\u30fc\u30f3\u3092\u65e5\u6b21\u91d1\u5229\u8a08\u7b97\u3092\u7528\u3044\u3066\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>#### **<\/strong>\u7b2c<strong>7<\/strong>\u7ae0<strong>: <\/strong>\u4e8c\u5909\u91cf\u30c7\u30fc\u30bf\uff08\u95a2\u4fc2\u30de\u30c3\u30d4\u30f3\u30b0\uff09<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u30b3\u30a2<strong>:** <\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u304a\u3051\u308b\u50be\u5411\u3068\u30d1\u30bf\u30fc\u30f3\u3092\u7279\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>* **<\/strong>\u300c\u9ad8\u9054\u6210\u8005\u300d\u306e\u5f37\u307f<strong>:** **<\/strong>\u76f8\u95a2\u95a2\u4fc2\u3068\u56e0\u679c\u95a2\u4fc2<strong>**<\/strong>\u3002\u6563\u5e03\u56f3\u3092\u7528\u3044\u3066\u30d3\u30b8\u30cd\u30b9\u30c8\u30ec\u30f3\u30c9\u306e\u300c\u6700\u9069\u9069\u5408\u7dda\u300d\u3092\u898b\u3064\u3051\u3001\u305d\u308c\u3092\u7528\u3044\u3066<strong>12<\/strong>\u30f6\u6708\u4e88\u6e2c\u3092\u7acb\u3066\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8212;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>### <\/strong>\u300c\u30a2\u30bb\u30b9\u30e1\u30f3\u30c8\u30de\u30b9\u30bf\u30fc\u300d\u30bb\u30af\u30b7\u30e7\u30f3\uff08\u30e6\u30cb\u30c3\u30c8<strong>1<\/strong>\uff06<strong>2<\/strong>\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u512a\u79c0\u306a\u5b66\u751f\u306f\u3001<strong>**<\/strong>\u554f\u984c\u89e3\u6c7a\u3068\u30e2\u30c7\u30ea\u30f3\u30b0\u30bf\u30b9\u30af\uff08<strong>PSMT<\/strong>\uff09<strong>**<\/strong>\u3067\u9ad8\u3044\u8a55\u4fa1\u3092\u5f97\u307e\u3059\u3002\u6559\u79d1\u66f8\u306e\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u5185\u5bb9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. **<\/strong>\u5b9a\u5f0f\u5316<strong>:** <\/strong>\u5927\u307e\u304b\u306a\u4eee\u5b9a\u306e\u66f8\u304d\u65b9\uff08\u4f8b\uff1a\u300c\u6750\u6599\u8cbb\u306e\u30a4\u30f3\u30d5\u30ec\u7387\u3092<strong>3%<\/strong>\u3068\u4eee\u5b9a\u3059\u308b\u300d\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. **<\/strong>\u8a55\u4fa1<strong>:** <\/strong>\u72ec\u81ea\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u6279\u8a55\u3059\u308b\u65b9\u6cd5\u3002\u300c\u79c1\u306e\u30e2\u30c7\u30eb\u306e\u7cbe\u5ea6\u306f<strong>95%<\/strong>\u3067\u3059\u304c\u3001\u7269\u6d41\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb\u306b\u304a\u3051\u308b\u7570\u5e38\u6c17\u8c61\u306b\u3088\u308b\u9045\u5ef6\u304c\u8003\u616e\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u300d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. **<\/strong>\u7cbe\u7dfb\u5316<strong>:** <\/strong>\u30c7\u30b8\u30bf\u30eb\u30c4\u30fc\u30eb\uff08<strong>Excel\/Google<\/strong>\u30b9\u30d7\u30ec\u30c3\u30c9\u30b7\u30fc\u30c8\uff09\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d7\u30ed\u4ed5\u69d8\u306e\u30ec\u30dd\u30fc\u30c8\u306e\u8a08\u7b97\u3092\u81ea\u52d5\u5316\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8212;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>### <\/strong>\u30b5\u30f3\u30d7\u30eb\u300c\u30ec\u30d9\u30eb<strong>A<\/strong>\u300d\u30c1\u30e3\u30ec\u30f3\u30b8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&gt; **<\/strong>\u554f\u984c<strong>:** <\/strong>\u3042\u306a\u305f\u306f<strong>2<\/strong>\u4e07\u30c9\u30eb\u306e\u6539\u4fee\u5de5\u4e8b\u306e\u8acb\u8ca0\u696d\u8005\u3067\u3059\u3002<strong>2<\/strong>\u793e\u306e\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc\u304c\u3044\u307e\u3059\u3002\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc<strong>A<\/strong>\u306f\u5408\u8a08\u91d1\u984d\u304b\u3089<strong>15%<\/strong>\u306e\u5272\u5f15\u3092\u63d0\u4f9b\u3057\u307e\u3059\u304c\u3001\u914d\u9001\u6599\u3068\u3057\u3066<strong>500<\/strong>\u30c9\u30eb\u3092\u8acb\u6c42\u3057\u307e\u3059\u3002\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc<strong>B<\/strong>\u306f\u5272\u5f15\u3092\u63d0\u4f9b\u3057\u307e\u305b\u3093\u304c\u3001\u914d\u9001\u6599\u306f\u7121\u6599\u3001\u3055\u3089\u306b\u6b21\u56de\u306e\u6ce8\u6587\u306b\u5bfe\u3057\u3066<strong>5%<\/strong>\u306e\u300c\u30ed\u30a4\u30e4\u30eb\u30c6\u30a3\u30ea\u30d9\u30fc\u30c8\u300d\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&gt; **<\/strong>\u5fc5\u9808\u30bf\u30b9\u30af<strong>:** *<\/strong>\u3053\u306e<strong>*<\/strong>\u5de5\u4e8b\u306b\u304a\u3044\u3066\u3001\u3088\u308a\u5b89\u4fa1\u306a\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u8a08\u7b97\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&gt; **<\/strong>\u9ad8\u9054\u6210\u8005\u5411\u3051\u8ab2\u984c<strong>:** 3<\/strong>\u3064\u306e\u5225\u3005\u306e\u30b8\u30e7\u30d6\u306b\u304a\u3044\u3066\u3001\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc<strong>B<\/strong>\u304c\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc<strong>A<\/strong>\u3088\u308a\u3082\u53ce\u76ca\u6027\u304c\u9ad8\u304f\u306a\u308b\u300c\u640d\u76ca\u5206\u5c90\u70b9\u300d\u3092\u6c42\u3081\u308b\u30b9\u30d7\u30ec\u30c3\u30c9\u30b7\u30fc\u30c8\u30e2\u30c7\u30eb\u3092\u4f5c\u6210\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8212;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>**<\/strong>\u3053\u306e\u79d1\u76ee\u3067\u4f7f\u7528\u3055\u308c\u308b\u30e6\u30cb\u30c3\u30c8<strong>1<\/strong>\u306e\u516c\u5f0f\u306b\u3064\u3044\u3066\u3001\u5177\u4f53\u7684\u306a\u6a21\u64ec\u8a66\u9a13\u307e\u305f\u306f\u300c\u30ab\u30f3\u30cb\u30f3\u30b0\u30da\u30fc\u30d1\u30fc\u300d\u3092\u4f5c\u6210\u3057\u3066\u307b\u3057\u3044\u3067\u3059\u304b\uff1f<strong>**<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For a student who has excelled in Year 10 Mathematics but is choosing the Essential Mathematics (Applied) pathway, the challenge isn&#8217;t the difficulty of the operations, but the depth of the application. While the standard curriculum focuses on basic competency, a textbook for a high-achieving student should focus on Precision, Optimization, and Financial Strategy. Below [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-924","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/924","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=924"}],"version-history":[{"count":2,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/924\/revisions"}],"predecessor-version":[{"id":952,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/924\/revisions\/952"}],"wp:attachment":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=924"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=924"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}