Year 10 Mathematics Yearly Lesson Plans and Study Notes

Year 10 Term 2 Week 2 Geometry and Pythagoras Theorem

The learning objectives for this week center on Pythagoras Theorem, specifically understanding the underlying theory of the hypotenuse and the mechanics of square roots. Students are tasked with completing Walkermaths pages 196 to 200, Education Perfect tasks, and Numeracy Practice #2 located on page 3 of the AJHS Numeracy workbook. Early finisher tasks include Man vs Maths, Numeracy Practice, Man vs Maths Year 11 materials, and answer keys for the MathsStarters Statistics and AJHS Numeracy workbooks. Lesson three shifts focus to finding the short sides of triangles using Corbettmaths and Transum resources. Furthermore, the week includes a SMART Familiarisation session intended to provide preparatory information and instructions for the SMART system via Transum and Education Perfect. There is a strong emphasis on practicing required math skills at home to gain familiarity with geometry rules. A Diagnostic Assessment and a specific task named Omok focused on find short sides were also noted.

Year 10 Term 2 Week 1 Geometry Foundations and Numeracy Assessment

This week signifies the commencement of Geometry and preparation for the Numeracy Assessment. Lessons cover naming angles and angle revision, angles on parallel lines, and angles in polygons, specifically addressing interior and exterior angles. Students are expected to complete NZQA registration checks and practice recognizing symmetry, locations, compass directions, and Cartesian planes with coordinates. Assigned work includes Education Perfect tasks on locations, compass scales, and Cartesian planes, alongside Walkermaths pages 196 to 200 and Numeracy Practice #1. Numerical skills are emphasized as essential for solving geometry questions. Pythagoras Theorem is introduced here as well, with a focus on understanding the theory of the hypotenuse and square roots through lesson slides, videos, and worksheets.

Year 10 Term 1 Week 10 Number Assessments and Revision

Term 1 Week 10 focuses on assessment and revision. The class 10MT1 undergoes a Number Assessment while class 10RK1 performs Number Revision. To supplement learning, various math activities are utilized, including Connect 4 and Transum games. Extensive revision sessions are scheduled, referred to as Revision 1, Revision 2 (pages 2 to 4), and Revision 3 (pages 2 to 4), ensuring students are prepared for formal assessments.

Year 10 Term 1 Week 9 Rates and Ratios

Lesson content for Week 9 covers Rates, specifically the relationship between speed, time, and distance. Students utilize Walderbook pages 45 to 47 and Corbettmaths for rate calculations. Ratios are introduced through Transum resources and Education Perfect homework tasks. The learning intention is to build a solid foundation in calculating rates and understanding the proportional relationships inherent in ratios.

Year 10 Term 1 Week 8 Percentage Revision and Ratio Splitting

Week 8 involves a deep dive into percentages, including calculating percentages of amounts, increases, decreases, percentage changes, and interest. Word problems involving percentages are provided in printed format with answers. The lesson also covers simplifying ratios and representing them as fractions, decimals, and percentages. A significant focus is placed on "splitting ratios," which involves sharing a quantity in a given ratio when the total is known, using pages 48 to 50 for practice. Additionally, students learn to calculate ratios when only one part is given, utilizing page 51 and ratio slides. Recipe-based ratio problems on Education Perfect are assigned as homework.

Year 10 Term 1 Week 7 GST and Financial Mathematics

This week focuses on the practical application of the Goods and Services Tax (GST). Students learn to add or remove GST from an amount and calculate the specific amount of GST paid on an item. Learning materials include GST slides and worksheets on pages 52 and 53. The curriculum emphasizes the real-world application of percentages in financial transactions.

Year 10 Term 1 Week 6 Interest Calculations and Currency Conversion

Numerical concepts this week expand into financial mathematics and advanced percentages. Simple interest is calculated using the formula I=P×R×T100I = \frac{P \times R \times T}{100} or PR%TPR\%T, where PP is the principal amount, RR is the interest rate, and TT is time in years. Compound interest is calculated using the formula Total=P×(1+R100)T\text{Total} = P \times (1 + \frac{R}{100})^T. Currency conversion involves changing New Zealand Dollars (NZD) to foreign currency by multiplying by the rate and vice-versa by dividing. A specific exchange rate example is provided: 1NZ:1US=NZD1:USD0.591\text{NZ}:1\text{US} = \text{NZD} 1 : \text{USD} 0.59. Under this rate, $500 NZD×0.59=$295 USD\$500 \text{ NZD} \times 0.59 = \$295 \text{ USD}, and USD$500÷0.59=NZD$847.46\text{USD} \$500 \div 0.59 = \text{NZD} \$847.46. Learning also includes finding a fraction of an amount in a real-life context, percentage increases/decreases (pages 29-32), and finding the original quantity for fraction/percentage contexts (pages 23, 34-35). Students use Corbettmaths and Education Perfect quizzes for homework.

Year 10 Term 1 Week 5 Fractions and PAT Testing

On Monday of Week 5, PAT tests were administered for specific students including Jordan Ahmed (10MT1), Azaaria, and Felix (10RK1). The academic focus is on comparing fractions arising from "division-as-sharing" (for example, sharing 2 among 5 versus sharing 3 among 7). Students are encouraged to use the SD key on their calculators to change fractions to decimals for easier comparison. Other topics include operations with mixed numbers and improper fractions, and finding fractions of amounts in real-life contexts. Early finisher tasks involve FDP (Fraction-Decimal-Percentage) conversion and Corbettmaths exponents.

Year 10 Term 1 Week 4 Conversions and Word Problems

Week 4 focuses on converting between fractions, decimals, and percentages using flow charts. Solving word problems is a major theme, covering decimal word problems (Maoribook 4.10), integer word problems, and real-life scenarios. Extension tasks involve rounding to significant figures. Students also spend time simplifying fractions with and without calculators. The week concludes with a revision assessment on the Number System.

Year 10 Term 1 Week 3 Significant Figures and Standard Form

Learning intentions for Week 3 include understanding and rounding using significant figures, with practice provided on printed pages 38 to 49. The curriculum also introduces writing numbers using powers of 10 and Standard Form (Scientific Notation). This includes standard form with positive powers using index rules and negative powers for small numbers. Resources include Corbettmaths, Transum standard form tasks, and a codebreaker activity for rounding.

Year 10 Term 1 Week 2 Introduction and Calculator Skills

Early term activities focus on a general math introduction involving goal setting, expectations, and survey completion. Students are taught how to use a calculator effectively, including tasks like "Broken Calculator" and a "Calculator Workout" via Transum. Primary skills include rounding decimals to specific decimal points and an introduction to significant figures. Students undergo an Education Perfect Diagnostic Assessment and are challenged to write their own complicated calculator challenge questions. A diagnostic assessment without calculators was also administered on Thursday 5/2/26.