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. 😊
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