Math 7 Scope and Sequence
Unit 1 – Rational Number Equivalence
Probability and percent (number sense focus) – chance processes, probability models,
fraction/decimal/percent
Equivalence in rational number form – solve problems
Unit 2 – Operations with Rational Numbers
Operations with rational numbers
Honors Topic 1: Number bases
Unit 3 – Expressions and Equations Part I
Properties – distribution, expanding, factoring
Generate equivalent expressions and equations (do not include inequalities)
Estimate and solve multi-step problems
Honors Topic 2: Codes
Unit 4 – Ratio and Proportion
Unit rates (constant of proportionality) – included in tables, graphs, equations, context and pictures
Proportional relationships – included in tables, graphs, equations, context and pictures
Commission, sales tax, discounts, percent of change, simple interest, mark up and mark down, gratuity,
percent error, etc.
Unit 5 – Geometry Part I
Scale drawings
Triangle rules
Quadrilaterals
Unit 6 – Expressions and Equations Part II
Geometry equations
Angles – complementary, supplementary, vertical and adjacent
Perimeter and area (solve for unknowns)
Write and solve equations and inequalities
Unit 7 – Statistics and Probability
Probability models – analyze data and make predictions
Use random sampling to draw inferences about a population
Draw informal comparative inferences about two populations (bi-modal)
Unit 8 – Geometry Part II
Measurement in 2 dimensions – triangles, quadrilaterals, circles (perimeter, circumference and area)
Cross section
Surface area and volume – right prisms, pyramids, cubes (real-world context focus)
Honors Topics 4: Comparing ancient number systems
1st Quarter
Begin Unit 1
Probability
predictions
1.1a
Probability horse
race game
1.1b
Probability
fair game
1.1c
Dinosaur prize
simulation
1.1d
Probability,
fractions,
percentage, ratio
1.2a
Using tangrams to
understand
fractions and
decimal 1.2b
Rational number
in applications
with models 1.2c
Rational number
in applications
using estimation
1.2d
Compare rational
numbers in
different forms
1.2e
Model percent
and fraction
problems
1.3a
Model percent
and fraction
problems
1.3b
Percent and
fraction models –
develop algebraic
expressions and
equations 1.3c
Review
Assess Unit 1
Add integers on
the number line
2.1b
Model integer
addition
2.1c
Model integer
subtraction
2.1d
Integer addition
and subtraction
2.1e
Mode subtraction
on a number line
2.1f
Apply integer
operation
2.1g
Model integer
multiplication
2.2a
Multiply, add,
subtract integers
with chips
2.2.b
Multiply integers
using a number
line
2.2c
Rules and
structure for
multiplying
integers 2.2d
Rules and
structure for
integer division
2.2e
Integer rates of
change
2.2f
Add, subtract
rational numbers
on a number line
2.3a
Multiply and
divide rational
numbers
2.3b
Problem solve
with rational
numbers
2.3c
Review
Assess Unit 2
Begin Unit 3
Matching
numerical
expressions to
stories 3.1a
Matching
numerical
expressions to
stories
3.1b
Number trick
3.1c
Write equations,
find solutions
3.1d
Properties
3.2a
Simplifying using
distributive
property
3.2b
Algebra tile
exploration
3.2c
Simplifying
expressions
3.2d
Begin Unit 2
Additive inverse
2.1 a
2nd Quarter
Simplifying
expressions
3.2e
Solidifying
expressions
3.2f
Modeling
multiplication
using variables
3.2g
Modeling
factoring
expressions
3.2h
Model equations
3.3a
Model and write
equations, reason
to find solutions
3.3b
Solve one- and
two-step
equations with
rational numbers
3.3c
Analyze and write
equations for
word problems
3.3d
Solve equations –
error analysis
3.3e
Estimate and solve
multi-step
problems involving
rational numbers
3.4a
Percent decrease
3.4b
Percent equations
3.4c
Review
Assess Unit 3
Benchmark
Assessment #1
Begin Unit 4
Model Ratios
4.1a
Model and
understand unit
rates
4.1b
Compare unit
rates
4.1c
Rate projects
4.1d
Rate review
4.1e
Determine
proportionality
4.2a
Expressing
proportionality
4.2b
Find unit rate
4.2c
Convert units –
proportion in
tables and graphs
4.2d
Proportions (unit
rates) from tables
and graphs
4.2e
Compare unit
rates using tables
and graphs
4.2f
Proportional vs.
non-proportional
equations
4.3a
Writing equations
from patterns
4.3b
Write equations
from tables,
patterns, graphs
4.3c
Time trials (rates
of speed)
4.3d
Use models to
solve proportional
problems
4.4a
Proportional
tables – Find the
missing data
4.4b
Solve proportion
equations
4.4c
Odds and chances:
probability
proportions
4.4f
Percents with
models
4.4g
Write and solve
percent problems
4.4h
Use four methods
to examine
proportion
problems.
4.4d
Commission, sales
tax, tip, discounts,
percent of change,
sales tax
4.4i
Part-to-part and
part-to-whole
proportion
problems
4.4e
Purchasing Tunes
Town music
company
4.4j
3rd Quarter
Begin Unit 5
Review
Assess Unit 4
Triangle practice
5.2a
Summing polygon
angles
5.2b
Begin Unit 6
Benchmark
Assessment #2
Write and solve
equations for
word problems
6.1a
Scale factor, scale
drawings
5.1b
Scale factor and
area and volume
5.1c
Triangles &
quadrilaterals
5.2c
Review
Assess Unit 5
Work backwards,
write word
problems for
equations
6.1b
Write and solve
equations from
word problems
6.1c
Solve and write
equations review
6.1d
Solve scale
drawing problems,
create a scale
drawing 5.1a
Complementary,
supplementary,
vertical, adjacent
angles 6.2a
Angle pairs and
solving equations
6.2b
Perimeter and
area with variables
6.2c
Inequality
statements
6.3a
Solve and graph
inequalities on a
number line
6.3b
Solve and graph
inequalities
6.3c
Solving
inequalities
6.3d
Write and solve
inequalities from
word problems
6.3e
Review
Assess Unit 6
Begin Unit 7
Probability
problem solving
7.1a
Probability models
7.1b
Compound
probability
7.1c
Sapling like a
different
population
7.2a
Design a poll,
collect samples,
present poll
results 7.2b
Sampling and
frequency
7.2c
Diagnosing disease Grab a handful or
via blood count
popcorn
sampling 7.2d
7.3a
Histograms, box
plots, others
7.3b
Comparing pulse
rates
7.3c
NBA heights
7.3d
Reaction times
7.3e
Assess Unit 7
Review
4th Quarter
Begin Unit 8
Areas of triangles
and
parallelograms
8.1b
Areas of triangles,
parallelograms,
trapezoids
8.1c
Circle
circumference
8.1d
Circle area
8.1e
The garden
problem
8.1f
2D cross sections
on cubes and
prisms
8.2a
2D cross sections
on cylinders and
cones
8.2b
Surface area and
volume practice
8.2c
Measuring prisms
and cylinders
8.2d
How much skin do
you have?
8.2e
Review
Assess Unit 8
Benchmark
Assessment #3
Perimeter and
area problem
solving
8.1a