## Description

Author: Karelien Kriel

Number of pages: 196 (book) + 82 (memo)

Number of activities: 40

Type of book: TEXT BOOK (fill in Activity Book) that covers the whole term’s CAPS work

Philosophy: Thinking Tools

Printing: back-to-back and bind with ring binder (1 book) or use stapler (make 2 packs) of view on screen and write in work book.

**This is the most important book for Grade 7.**

**Here I help the learner to understand variables (x’s and y’s) in a quick and easy way.**

**I use pictures and easy concepts that makes that even learners who struggle, will love and understand it. ****😊**

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**Activity 1**: introduction to variables for addition; work with pictures; may you or will not; why; add letters represented by pictures; conclusions; Brace Map; addition of like and unlike terms

**Activity 2**: introduction to variables for subtraction; work with pictures; may you subtract or not; why; subtract letters represented by pictures; conclusions; Brace Map; subtraction of like and unlike terms

**Activity 3**: define terms; like and unlike; Brace Map with definitions and examples

**Activity 4-5**: addition of terms; pictures; say in each case if it’s like or unlike terms and then write the problem and answer.

**Activity 6**: introduction to coefficients and the fact that 1s = s; like or unlike; addition of polynomials with different variables

**Activity 7**: addition of polynomials with different variables

**Activity 8**: menu; use it to replace words with variables, substitution and calculate answers; word problems; step-by-step

**Activity 9**: Define the word pair; two times 0, 1, 2, etc. with pictures of the same amount of peas in a pair of hands; conclude what a bracket means; conclude definition of variable and constant; Brace Map; identify variables and constants; table

**Activity 10-11**: subtraction of terms; pictures; say in each case if it’s like or unlike terms and then write the problem and answer.

**Activity 12-13**: subtraction of polynomials with different variables; concept of 0s = 0

**Activity 14-15**: Geometrical patterns; give first 3 patterns; give variables for pattern number and answer; complete table; find differences; work forwards in Flow Map; questions; write formula; complete table with larger pattern numbers; define input value and output value; identify input- and output value; work backwards in Flow Map; backwards formula; write what you did in words

**Activity 16-17**: look at values in tables of patterns; conclude where the coefficient comes from; conclude how you know which number to add or to subtract; write formulae; substitution

**Activity 18**: Geometrical patterns without constant difference; complete tables; describe the pattern in words

**Activity 19**: look at the formula and write the next 5 numbers in the series; find the formulae of series; explain in words; write steps in Brace Map

**Activity 20**: word problems; secret numbers; step-by-step; replace words with numbers and symbols; write equation; solve; write own steps in Brace Map

**Activity 21-22**: solve the word problems (unknown number)

**Activity 23-24**: solve the word problems (money sums)

**Activity 25**: solve the word problems (age)

**Activity 26**: solve x in each equation; x is a natural number; step-by-step; test your answer with substitution

**Activity 27-28**: use substitution to solve the variable in the equation (trial-and-error)

**Activity 29**: straight line graph; define vertical and horizontal; distance vs. time; read values from graph; answer questions (interpretation); calculate and compare speed

**Activity 32**; transformation; define translate, reflect and rotate; cut out shapes and transform it according to instructions on given blocked paper

**Activity 31**: draw reductions and enlargements of shapes according to instructions on blocked paper

**Activity 32-34**: symmetry; draw the line of symmetry; draw the mirror image on blocked paper; definitions; number of lines of symmetry in shapes (pattern)

**Activity 35**: fit the correct net with each prism; use nets to make 5 3D-objects

**Activity 36**: 3D-objects; cut out prisms and paste correct prisms according to questions; table; number of and shapes of faces; number of vertices; number of edges

**Activity 37-38**: draw 3D-objects’ nets according to specifications

**Activity 39-40**: variables – more exercise