Download Patterns and Relations

Key: RSP = reproducible student pages
PROGRESSION OF OUTCOMES: Patterns and Relations Strand
Mathematical Concept
Patterns
Kindergarten
PK.1 identify, reproduce, extend and create repeating
patterns of two or three elements
P1.3 describe equality as a balance and inequality as an
imbalance using concrete and pictorial models and the
numbers 0 to 20 RSP
P1.4 record equalities using the equal symbol RSP
Relations
Equality versus Inequality
Key:
Grade 1
P1.1 describe, reproduce, extend and create repeating
patterns of two to four elements RSP p. 3-9, 11
P1.2 translate repeating patterns from one form or
representation to another RSP p.10
Grade 2
P2.1 describe, extend, compare, create and use
alternate modes to show repeating patterns of three to
five elements RSP p.10, 16-22
P2.2 describe, reproduce, extend and create increasing
patterns RSP p.23-24, 26-27
P2.3 understand equality and inequality of numbers 0 to
100 concretely and pictorially by relating to balance and
imbalance, be comparing sets, by recording equality with
an equal sign, by recording inequality with a not equal
sign and by solving problems RSP
MMS = Math Makes Sense student textbook HPB = Homework and Practice book
PROGRESSION OF OUTCOMES:
Mathematical Concept
Patterns
Relations
Equality versus Inequality
Grade 3
P3.1 describe, extend, compare and create increasing
and decreasing patterns
MMS3 p. 4-35, HPB3 p. 2-15
P3.2 understand equality by solving one-step addition
and subtraction equations (i.e. 7 + = 13) that use
symbols (
) for the unknown
MMS3 p. 89-92, HPB3 p. 40-41
Patterns and Relations Strand
Grade 4
P4.1 describe patterns in a chart, table or diagram;
reproduce these patterns in a chart, table or diagram
using manipulatives; create a chart table or diagram to
represent a pattern; solve problems involving patterns
MMS4 p. 6-17, HPB4 p. 2-7
P4.1 describe relations in a chart, table or diagram;
reproduce these relations in a chart, table or diagram
using manipulatives; create a chart table or diagram to
represent a relation; solve problems involving relations
MMS4 p. 6-17, HPB4 p. 2-7
P4.2 write an equation to represent a problem using a
symbol as an unknown (
); solve one-step
equations (i.e. 13 = 7)
MMS4 p. 18-24, HPB4 p. 8-11
Grade 5
P5.1 represent, analyze and apply patterns using
mathematical language and notation (𝑛 + 1,
where 𝑛 is the first term in the pattern)
MMS5 p.6-16; HPB5 p.2-9
P5.2 write, solve, and verify solutions of single-variable,
one-step equations with whole number coefficients and
whole number solutions
MMS5 p.20-28; HPB5 p.10-13
Key
MMS = Math Makes Sense student textbook HPB = Homework and Practice book PPB = Preparation and Practice Book
PROGRESSION OF OUTCOMES: Patterns and Relations Strand
Mathematical Concept
Patterns
Grade 6
P6.1 understand patterns and relationships
in tables of values and graphs
MMS6 p. 6-15, 24-32 HPB6 p. 2-5, 8-11
P6.2 understand the preservation of equality
concretely, pictorially, and symbolically
MMS6 p. 33-39, HPB6 p. 12-15
P6.3 understand patterns and relationships
by using expressions (i. e. 𝑥 + 3) and
equations (i. e. 𝑥 + 3 = 7) involving
variables
MMS6 p. 19-23, HPB6 p. 6,7
Relations
Equality versus Inequality
Inequalities
Polynomials
Grade 7
P7.1 understand the relationships between
oral and written patterns, graphs and linear
relations (understand the link between a
pattern and a linear relation)
MMS7 p. 6-15, 20-28, 30-34
HPB7 p. 4-8, 12-16, 17-19
P7.2 distinguish between equations and
expressions, evaluate expressions and verify
solutions to equations
MMS7 p. 16-19, 35-37
HPB7 p. 9-11, 20-21
P7.3 understand one- and two-step linear
𝑎𝑥
equations of the form 𝑏 + 𝑐 = 𝑑 by
modeling the solution of equations
concretely, pictorially, and symbolically and
by explaining the solution in terms of the
preservation of equality
MMS7 p.38-42, 218-253
HPB7 p. 22-24, 129-150
P7.4 understand and solve linear equations
of the form 𝑥 + 𝑎 = 𝑏 concretely, pictorially
and symbolically
MMS7 p. 38-42, 218-253
HPB7 p.22-24, 129-150
Grade 8
P8.1 understand linear relations concretely,
pictorially (including graphs) and
symbolically (continue to understand the link
between a pattern and a linear relation)
MMS8 p. 351-367, HPB8 p. 152-157
P8.2 model and solve problems using linear
equations of the form:
𝑎𝑥 = 𝑏
𝑥
=𝑏
𝑎
𝑎𝑥 + 𝑏 = 𝑐
𝑥
+𝑏 = 𝑐
𝑎
𝑎(𝑥 + 𝑏) = 𝑐
concretely, pictorially and symbolically,
where a, b, and c are integers
MMS8 p. 318-350, HPB8 p. 138-151
Grade 9
P9.1 understand linear relations by graphing,
by analyzing (to see the link between a
pattern and a linear relation), by
interpolating and extrapolating, and by
solving situational questions
MMS9 p. 150-207 , PPB9 p. 141-178
P9.2 model and solve situational questions
using linear equations of the form:
𝑎𝑥 = 𝑏
𝑥
=𝑏
𝑎
𝑎𝑥 + 𝑏 = 𝑐
𝑥
+𝑏 = 𝑐
𝑎
𝑎(𝑥 + 𝑏) = 𝑐
𝑎𝑥 + 𝑏 = 𝑐𝑥 + 𝑑
𝑎(𝑏𝑥 + 𝑐) = 𝑑(𝑒𝑥 + 𝑓)
𝑎
=𝑏
𝑥
where a, b, c, d, e, and f are rational
numbers
MMS9 p. 266-287, PPB9 p. 226-241
P9.3 understand single variable linear
inequalities with rational coefficients by
solving, verifying, comparing and graphing
MMS9 p. 288-306, PPB9 p. 242-254
P9.4 understand polynomials of degree two
or less by modeling, by adding, subtracting,
multiplying and dividing and by comparing
for equivalency
MMS9 p. 208-263, PPB9 p. 179-224