problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts solve problems involving similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples Possible learning intentions Possible success criteria Solve problems involving scaling Identify when a comparison problem can be solved multiplication Explore enlargement Identify when a comparison problem can be solved using division Solve problems involving sharing and grouping Identify when a comparison problem requires both division and multiplication Find the value of a single item in a comparison problem Use the value of a single item to solve a comparison problem on the Maths+: Moving on up! Understand the meaning of enlargement Understand the meaning of factor and proportion: #1 Recognise when one shape is an enlargement of another Use a factor to complete an enlargement Y7 Bring on the Maths Find the scale factor for a given enlargement Use knowledge of fractions to solve a sharing (or grouping) problem Problem Solving: #1, #2, #3 Use knowledge of multiples to solve a sharing (or grouping) problem Prerequisites Mathematical language Pedagogical notes Recall multiplication for multiplication tables up to 12 × 12 Proportion Any work on enlargement should only include enlargements using a scale Recall division facts for multiplication tables up to 12 × 12 factor. The concept of a centre of enlargement is a future development. Quantity Find fractions of an amount NCETM: Find multiples of a given number Integer NCETM: Similar (shapes) Enlargement factor Common approaches Group All pupils are explicitly taught to use the bar model as a way to represent a problem involving proportional reasoning Share Multiples Reasoning opportunities and probing questions Suggested activities Possible misconceptions
problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts solve problems involving similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples Possible learning intentions Possible success criteria Solve problems involving scaling Explore enlargement Solve problems involving sharing and grouping on the Maths+: Moving on up! and proportion: #1 Y7 Bring on the Maths Problem Solving: #1, #2, #3 Identify when a comparison problem can be solved multiplication Identify when a comparison problem can be solved using division Identify when a comparison problem requires both division and multiplication Find the value of a single item in a comparison problem Use the value of a single item to solve a comparison problem Understand the meaning of enlargement Understand the meaning of factor Recognise when one shape is an enlargement of another Use a factor to complete an enlargement Find the scale factor for a given enlargement Use knowledge of fractions to solve a sharing (or grouping) problem Use knowledge of multiples to solve a sharing (or grouping) problem Prerequisites Mathematical language Pedagogical notes Recall multiplication for multiplication tables up to 12 × 12 Recall division facts for multiplication tables up to 12 × 12 Find fractions of an amount Find multiples of a given number Proportion Quantity Integer Similar (shapes) Enlargement factor Group Share Multiples Any work on enlargement should only include enlargements using a scale factor. The concept of a centre of enlargement is a future development. NCETM: NCETM: Common approaches All pupils are explicitly taught to use the bar model as a way to represent a problem involving proportional reasoning Reasoning opportunities and probing questions Suggested activities Possible misconceptions
Scheme-of-Learning-Maths-KS41.docx