Year 7 catch up

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Year 7 Achievement Standard Parts Covered in these 59 lessons

Covered: The achievement standard statements listed below are included within the 59 lesson program

Number:

represent natural numbers in expanded form and as products of prime factors, using exponent notation.
solve problems involving squares of numbers and square roots of perfect square numbers.
solve problems involving addition and subtraction of integers.
They use all 4 operations in calculations involving positive fractions and decimals, choosing efficient calculation strategies.
choose between equivalent representations of rational numbers and percentages to assist in calculations.
They use mathematical modelling to solve practical problems involving rational numbers, percentages and ratios in financial and other applied contexts, justifying choices of representation.

Algebra:

use algebraic expressions to represent situations, describe the relationships between variables from authentic data and substitute values into formulas to determine unknown values.
solve linear equations with natural number solutions.
create tables of values related to algebraic expressions and formulas, and describe the effect of variation.

Measurement:

use formulas for the areas of triangles and parallelograms and the volumes of rectangular and triangular prisms to solve problems.

Not covered: The statements below are not included in the 59 lesson program so will need to be covered separately.

Measurement and Geometry:

apply knowledge of angle relationships and the sum of angles in a triangle to solve problems, giving reasons.
describe the relationships between the radius, diameter and circumference of a circle.
classify polygons according to their features and create an algorithm designed to sort and classify shapes.
represent objects two-dimensionally in different ways, describing the usefulness of these representations.
use coordinates to describe transformations of points in the plane.

Statistics and Probability:

plan and conduct statistical investigations involving discrete and continuous numerical data, using appropriate displays.
interpret data in terms of the shape of distribution and summary statistics, identifying possible outliers.
decide which measure of central tendency is most suitable and explain their reasoning.
list sample spaces for single step experiments, assign probabilities to outcomes and predict relative frequencies for related events.
conduct repeated single-step chance experiments and run simulations using digital tools, giving reasons for differences between predicted and observed results.

Number:

Use mathematical modelling.

Flexible strategy videos

These strategies are designed to link multiple concepts, decreasing cognitive load. They are all used in multiple lessons. The video on operating with fractions uses an array strategy.

Number Line flexible strategy: 12 mins

Horizontal strategy for operations: 8 minutes

Post-it-note Algebra flexible strategy: 3 mins

Place value chart for converting measurements: 6 mins

Arrays flexible strategy: 8 mins

Partition It flexible strategy: 8 mins

Relationship table flexible strategy for rates : 3 mins

Operating with fractions: 12 mins

Lesson links

Please note that there are 59 lessons below. If used over 20 weeks, the plan would be to use 3 lessons per week. If you have a fourth lesson, we recommend that you use that lesson for further practise, extension and responsive teaching rather than trying to fit in a fourth catch-up lesson.

Whole number partitioning and relative size, including perimeter

Videos to watch: number line, horizontal strategy, post-it note algebra (shows adding and subtracting with integers), and potentially the place value chart for converting measurements.

1. Relative size to 1000 – this is the most important of all lessons.
Try this one too if they don’t get it: Revising the thousands chart

2. Relative size to 1000000 – feel free to skip this one and spend more time on the first task as it is more important.

3. Relative size of negative numbers

4. Efficient addition and subtraction

5. Application of addition and relative size to perimeter

6. Adding and subtracting integers