7th Grade Math Map Standards

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When planning lessons make sure to note which sections
are considered Major Cluster, supporting clusters, and
additional clusters. Major clusters should be given more
time so that students can truly grasp concepts and be
successful with these concepts.
MCSD Curriculum Map – 7th Grade
Major Clusters (Green) Supporting Clusters (Pink) Additional Cluster (white)
Rational Numbers &
Equations
August- November
Mathematical Practices:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
Look for and express regularity in repeated reasoning.
The first sets of Lessons 1-7 are considered to be prior grade level content:
Recommendation is for students NOT to use calculators.
Recommendation is to give Pre-test to see which lessons need to be covered and which ones can be skipped over.
RTI for students that are identified as outliers to class. Suggested use for Study Island or Khan Academy lesson for RTI students.
Unit 1
Positive
Rational
Numbers
Pre-q
Lessons 1
and 2
CCSS Content Standard:
What are the grade levels Concepts and
Skills you will teach? Or What must
students learn?
SWBAT
PR 4. NF.1 –
L1. Simplifying fractions
L2. Writing mixed numbers as improper
Resources
What materials and resources will you
utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
BMCC Math 25 textbook
Oregon Focus Lessons 1-2
Khan Academy –
Fractions in lowest terms
Equivalent fractions
Learning
Targets:
Common Assessments
When will
you teach the
concepts and
skills?
Block 1 Form B along
with problem solving
work sample at end of
unit lessons.
fractions and vice-versa
Pre-q
Lesson 3
5.NF.1/5.NF.2 –
L3. Add and subtract fractions with and
without common denominators
Converting Mixed Numbers to Improper Fractions
Mixed numbers and improper fractions
Proper and Improper Fractions
OFocus – Lesson 3
Study Island – 2007 Grade 5 Adding &
Subtracting Fractions
Khan Academy –
Adding Fractions with Like Denominators
Adding Fractions with Unlike Denominators
Subtracting Fractions
Adding and subtracting fractions
Pre-q
Lesson 4
6.NS.1/5.NF.6 –
L4. Multiply and divide fractions.
OFocus – lesson 4
Study Island- 2007 Grade 6 Multiplication &
Division of Fractions
Khan AcademyMultiplying Fractions
Dividing fractions
Dividing Fractions Word Problem
Pre-q
Lesson 5
6.NS.1/5.NF.1 –
L5. Add, subtract, multiply, and divide
mixed numbers.
OFocus – Lesson 5
Khan Academy
Adding Mixed Numbers with Unlike Denominators
Subtracting Mixed Numbers
Subtracting Mixed Numbers 2
Adding Mixed Numbers Word Problem
Multiplying Fractions and Mixed Numbers
Dividing Mixed Numbers and Fractions
Multiplying Mixed Numbers
Dividing Mixed Numbers and Fractions
Pre-q
Lessons 6 &
7
6.NS.3 –
L6. Add, subtract, multiply, and divide
decimals.
OFocus lessons 6 and 7
Study Island – 2002 Grade 5 - Addition &
Subtraction – both decimals and fractions.
2002 Grade 5 - Multiplication & Division – just
decimals
Khan Adacemy –
Adding Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Unit 2
Integers
CCSS Content Standard:
What are the grade levels Concepts and
Skills you will teach? Or What must
students learn?
SWBAT
Pre-q
Lesson 8
6.NS.5 –
L8. locate integers on a numbers line and
their opposites. Find the absolute value
of numbers.
Pre-q
Lesson 9
6.NS.7 –
L9. Compare and Order Integers
Resources
What materials and resources will you
utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
Oregon Focus – lesson 8
Khan Academy –
Absolute value
Absolute Value of Integers
OreFoc-lesson 9
Khan Academy
Ordering Negative Numbers
OreFoc lesson 10 and 11
Study Island –
Lesson 10 &
11
Major
clusters
Adding Integers, Subtracting Integers
7.NS.1/7.NS.3 Khan Academy –
L10. Add two or more integers.
Adding integers with different signs
L11. Subtract two or more integers to find
Integer sums
the difference
Lesson 12,
13, 14
7.NS.2/7.NS.3
L12. – Multiply two integers to find the
product.
L13. – Divide two integers to find the
Major
Negative numbers
Adding Negative Numbers
Adding/Subtracting negative numbers
Oregon Focus lessons 12, 13 and 14
Study Island –
2007 Grade 7 Compute with Integers
Mulitplying Integers
Learning
Targets:
Common Assessments
When will
you teach the
concepts and
skills?
Block 2 Form B along
with problem solving
work sample at end of
unit lessons.
Clusters
quotient
L14. – Write and compute expressions
with powers.
Dividing Integers
Mixed Operations of Integers
Khan Academy –
Multiplying and dividing negative numbers
OreFoc lesson 15
Study Island –
2007 Grade 6 - Order of Operations
Lesson 15
Major
Clusters
Math Common Core Grade 7 Properties of
Addition & Subtraction
Properties of Multiplication & Division
Compute with Rational Numbers
7.NS.3 – L15 Find the value of expressions Single-Step Real World Problems
using the order of operations.
Khan Academy –
Order of operations
More Complicated Order of Operations
Example
Order of Operations 1
without
Recommendation is done
calculators.
Recommendation is having comp tests for basic facts +, - x, / integers
Resources
CCSS Content Standard:
What materials and
Unit 3
What are the grade levels Concepts and
resources will you utilize?
Rational
Skills you will teach? Or What must
Number
students learn?
Oregon Focus Curriculum
Operations
SWBAT
Study Island
Khan Academy
Learning Targets:
When will you teach the
concepts and skills?
Common Assessments
Block 3 Form B along with
problem solving work
sample at end of unit
lessons.
Pizzazz or Punchline Math
Lessons 16,
17, & 18
7.NS.1/7.NS.3
L16. – Estimate sums and difference of
rational numbers.
L17. – Add positive and negative fractions
and decimals.
L18. – Subtract positive and negative
fractions and decimals.
Lessons 19,
20 & 21
7.NS.2/7.NS.3
L19. Estimate products and quotients of
rational number operations.
L20. Find products of positive and
negative fractions and decimals.
L21. Find quotient of positive and
negative fractions and decimals.
Unit 4
Solving
Equations
Lesson 22
CCSS Content Standard:
What are the grade levels Concepts and
Skills you will teach? Or What must
students learn?
SWBAT
6.EE.2/7.EE.1
L22. Write and evaluate algebraic
expressions and determine if a number is
a solution of an equation.
OreFoc – lesson 17 and 18
Study Island – 2007 grade 7
Compute with Rational
Numbers
Estimate Solutions
Khan Academy-
OreFoc-Lessons 19, 20 and
21
Study Island 2007 Grade 7
Compute with Rational
Numbers
Estimate Solutions
Common Core Grade 7
Compute with Rational
Numbers
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 22
Study Island –
2007 Grade 6 Evaluate
Expressions
Equivalent Expressions
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 4 Form B along with
problem solving work
sample at end of unit
lessons.
Common Core Grade 7 Linear
Expressions
Khan AcademyVariables Expressions and
Equations
Variables and Expressions 1
Lesson 23
6.EE.2/7.EE.1/7.NS.2
L23. Use inverse operations to solve onestep equations.
OreFoc lesson 23
Study Island –
2007 Grade 6 Inverse
Relationships
Solve Equations
Common Core Grade 7
Single-Step Real World
Problems
Khan Academy –
Simple Equations
Solving One-Step Equations
Solving One-Step Equations 2
Lesson 24
7.EE.3/7.EE.4a
L24. Solve two-step equations.
OreFoc lesson 24
Study Island –
Common Core Grade 7
Multi-Step Real World
Problems
Khan Academy –
Algebra: Linear Equations 2
Solving Equations 1
Two-Step Equations
Lesson 25
Lesson 26
7.EE.1/7.EE.2/7.EE.4a
L26. Use the distributive property of
simplify expressions and solve equations.
OreFoc – lesson 25
Khan Academy –
7.EE.1/7.EE.2
OreFoc lesson 26
Solving Equations with the
Distributive Property
Lesson 27
L26. Simplifying expressions using the
distributive property and combining like
terms.
7.EE.3/7.EE.4a
L27. Simplify and solve equations with
variables on one side of the equation.
Khan Academy –
Solving equations with the
distributive property 2
OreFoc lesson 27
Study Island –
Common Core Grade 7
Symbolize & Solve Equations
Khan Academy –
Algebra: Linear Equations 3
Algebra: Linear Equations 4
Equation Special Cases
Lesson 28
GAP Lesson
2-A
7.ee.3
L-28. Simplify and solve equations with
variables on both sides of the equation.
Khan Academy –
7.EE.4b
GAP l2-A. Solve Linear inequalities with
variables on one side or both sides of the
equation.
OreFoc lesson 2-A
Study Island –
Common Core Grade 7
Use variables to represent quantities in a
real-world or mathematical problem, and
construct simple equations and
inequalities to solve problems by
reasoning about the quantities.
a. Solve word problems leading to
equations of the form px + q = r
and p(x + q) = r, where p, q, and r
are specific rational numbers.
Solve equations of these forms
fluently. Compare an algebraic
Equations 3
Equations with Variables on
Both Sides
Multi-Step Equations
Multi-step equations 1
Multi-step equations 2
Symbolize & Solve Inequalities
Study Island –
Common Core Grade 7
Symbolize & Solve Inequalities
Khan Academy –
Solving linear inequalities
Inequalities on a number line
Equations and Inequalities
Solving Inequalities
Writing and using inequalities
solution to an arithmetic solution,
identifying the sequence of the
operations used in each approach.
For example, the perimeter of a
rectangle is 54 cm. Its length is 6
cm. What is its width?
b. Solve word problems leading to
inequalities of the form px + q > r
or px + q < r, where p, q, and r are
specific rational numbers. Graph
the solution set of the inequality
and interpret it in the context of
the problem. For example: As a
salesperson, you are paid $50 per
week plus $3 per sale. This week
you want your pay to be at least
$100. Write an inequality for the
number of sales you need to make,
and describe the solutions.
The following lessons are GAP lessons not currently in our Oregon Focus Curriculum
Resources
What materials and
CCSS Content Standard:
resources will you utilize?
Unit 5
What are the grade levels Concepts and
Angle
Skills you will teach? Or What must
Relationships
Oregon Focus Curriculum
students learn?
Study Island
SWBAT
Khan Academy
Pizzazz or Punchline Math
GAP Lesson 4.MD.5/4.MD.6
OreFoc Lines and Angles –
2-B
2-B. Measuring and Naming Angles
lesson 1
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 5 Form B along with
problem solving work
sample at end of unit
lessons.
4.MD.5 Recognize angles as geometric
shapes that are formed wherever two rays
share a common endpoint, and understand
concepts of angle measurement:
a. An angle is measured with
reference to a circle with its center
at the common endpoint of the
rays, by considering the fraction of
the circular arc between the points
where the two rays intersect the
circle. An angle that turns through
1/360 of a circle is called a “onedegree angle,” and can be used to
measure angles.
b. An angle that turns through n onedegree angles is said to have an
angle measure of n degrees.
Study Island –
Common core Grade 7
Angles
2- & 3-Dimensional Figures
Khan Academy
Angles
Introduction to angles (old)
Measuring Angles in Degrees
Using a Protractor
Measuring Angles
4.MD.6
Measure angles in whole-number degrees
using a protractor. Sketch angles of
specified measure.
GAP Lesson
2-C
4.MD.5/4.MD.6/4.MD.7
2-C. Classifying Angles
4.MD.7 Recognize angle measure as
OreFoc Lines and AnglesLesson 2
Khan Academy –
additive. When an angle is decomposed into
non-overlapping parts, the angle measure of
the whole is the sum of the angle measures
of the parts. Solve addition and subtraction
Acute Right and Obtuse Angles
Acute Obtuse and Right Angles
problems to find unknown angles on a
diagram in real world and mathematical
problems, e.g., by using an equation with a
symbol for the unknown angle measure.
GAP Lesson
2-D
7.G.5
Complementary and Supplementary
Angles
OreFoc-Lines and Angles –
Lesson 3
Study Island 2002 Grade 6
Complementary &
Supplementary Angles
Khan Academy –
Complementary and
Supplementary Angles
Identifying Complementary
and Supplementary Angles
Angles (part 2)
BMCC Math25 – section 10.5
(Angles and Triangles)
GAP Lesson
2-E
7.G.5
Vertical Angle and Adjacent Angles
OreFoc Lines and Angles
Lesson 4
Punchline – Problem Solving
pg 48-52 (Intersecting Lines
and Triangles)
Khan Academy –
Proof-Vertical Angles are Equal
Proportionality
December – ½ of March
Unit 6
Ratios and
Rates
Lesson 1
CCSS Content Standard:
What are the grade levels Concepts and
Skills you will teach? Or What must
students learn?
SWBAT
6.RP.3d
L1. Measurement - Convert customary
and metric measurements
Mathematical Practices:
1. Make sense of problems and persevere in solving
them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the
reasoning of others.
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
Look for and express regularity in repeated
reasoning.
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 1
BMCC math 25 Chapter 9
sections 9.1-9.6
Study Island – 2007 Grade
7 Convert Units
Khan Academy
Unit conversion
Converting units of length
Conversion between metric
units
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 1 Form B along with
problem solving work
sample at end of unit
lessons.
Customary and Metric units
Converting within the metric
system
Converting Gallons to quarts
pints and cups
Converting pounds to ounces
Comparing Celsius and
Farenheit temperature scales
Converting Farenheit to
Celsius
Lesson 2
Lesson 3
7.NS.2d
L2. Fractions and Decimals, convert
fractions to decimals and decimals to
fractions.
6.RP.1
L3. Ratios – simplify and write rations in
three forms.
OreFoc lesson 2
BMCC math 25 section 5.5
OreFoc lesson 3
BMCC Math25 – sections
6.1 Introduction to Ratios
Study Island –
Khan Academy –
Basic ratios and proportions
Punchline Problem Solving
with Ratio and Proportion
(Ratio) pg 103
Lesson 4
7.RP.1
L4. Unit Rates – calculate unite rates
OreFoc lesson 4
Study Island – common
Core grade 7 Unit Rates,
Ratios & Proportions
BMCC Math25 – sections
6.2 Rates and Unit rates
Khan Academy –
Simplifying Rates and Ratios
Lesson 5
Future Grade
Level
HS.N-Q.1
L5 – Rate conversions – convert rates to
different units.
OreFoc lesson 5
Khan Academy - Finding
Unit Rates
Extension
GAP Lesson
2-F
7.RP.1
Rates and Ratios with Complex
Fractions.
Compute unit rates associated with ratios
of fractions, including ratios of lengths,
areas and other quantities measured in
like or different units. For example, if a
person walks 1/2 mile in each 1/4 hour,
compute the unit rate as the complex
fraction 1/2/1/4 miles per hour,
equivalently 2 miles per hour.
Unit 7
Proportions
and Similarity
Lesson 6
CCSS Content Standard:
What are the grade levels Concepts and
Skills you will teach? Or What must
students learn?
SWBAT
7.RP.2/7.RP.3
L6. Write and Solve Proportions
Punchline Problem Solving
with Ratio and Proportion
(Rate) pgs 104, 105
BMCC Math25 –
section 6.1 –recognizes
ratios and rates within
word problems.
Section 6.2 – word
problems finding the rate
and ratios using fractions
and decimals.
Khan Academy –
Ratios as Fractions in Simplest
Form
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 6
Study Island Common Core
Grade 7 - Ratios &
Proportions
BMCC Math25 section 6.3
Punchline Bridge to
Algebra pg 88
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 2Form B along with
problem solving work
sample at end of unit
lessons.
Khan Academy
Understanding Proportions
Lesson 7
7.RP.3
L7. Problem Solving with Proportions
OreFoc lesson 7
Khan Academy –
Find an Unknown in a
Proportion 2
Lesson 8
Extension
future grade
8.G.2/8.G.4
L8. Similar and Congruent Figures –
Recognize congruent and similar figures.
Find the scale factor of similar figures.
BMCC Math25 section 6.4
Punchline- Bridge to
Algebra pg 89, 90, 91
Punchline – Problem
Solving pg 106, 109, 110
OreFoc lesson 8
Study Island Common Core
Grade 7 Scale Drawings
Study Island 2007 Grade 7
Similarity & Congruence
Lesson 9
Lesson 10
8.G.2 Understand that a two-dimensional
figure is congruent to another if the second
can be obtained from the first by a
sequence of rotations, reflections, and
translations; given two congruent figures,
describe a sequence that exhibits the
congruence between them.
8.G.4 Understand that a two-dimensional
figure is similar to another if the second can
be obtained from the first by a sequence of
rotations, reflections, translations, and
dilations; given two similar two-dimensional
figures, describe a sequence that exhibits
the similarity between them.
Punchline-Bridge to
Algebra pg 144, 145
7.RP.3
L9. Proportions and Similar Figures – use
proportions to solve problems involving
similar figures.
7.G.1
OreFoc lesson 9
BMCC Math25 section 6.5
Punchline-Bridge to
Algebra pg 144, 145
OreFoc lesson 10 and 11
Lesson 11
Unit 8
Percents and
Probability
Lesson 12
L10. Scale Drawings – Find the scale
factor, ratio or perimeters and ratio of
areas of similar figures.
L11. Scale Drawings – Use scales for
maps, blueprints and models to find
missing measurements.
CCSS Content Standard:
What are the grade levels Concepts
and Skills you will teach? Or What
must students learn?
SWBAT
6.RP.3
L12. Fractions, Decimals and Percents –
Convert between fractions, decimals
and percents.
Punchline-Problem Solving
Scale Drawings pg 107
Punchline –Problem
Solving –Similar Figures
108
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 12
BMCC Math25 sections 7.1
and 7.2
Study Island 2007 Grade 6
Percents
Fractions, Decimals, &
Percents
Study Island Common Core
Grade 7 Percents
Lesson 13
7.SP.5
L13. Probability –Find and interpret
experimental and theoretical
probabilities.
Understand that the probability of a
Algebra 1 –old text (Holt,
Rinehart and Winston – 4.2
(percent problems)
OreFoc lesson 13
Study Island – 2007 Grade
6 Probability
Study Island -2007 Grade 7
Probability
Khan Academy –
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 3 Form B along with
problem solving work
sample at end of unit
lessons.
Lesson 14
chance event is a number between 0 and
1 that expresses the likelihood of the
event occurring. Larger numbers
indicate greater likelihood. A
probability near 0 indicates an unlikely
event, a probability around 1/2 indicates
an event that is neither unlikely nor
likely, and a probability near 1 indicates
a likely event.
Probability
Simple Probability
Probability (part 1)
Probability (part 2)
Probability (part 3)
Probability (part 4)
Probability (part 5)
Probability (part 6)
Probability (part 7)
7.SP.6/7.SP.7
L14. Use Probability to Predict – Predict
an outcome using experimental and
theoretical probability.
OreFoc -Lesson 14
Approximate the probability of a chance
event by collecting data on the chance
process that produces it and observing
its long-run relative frequency, and
predict the approximate relative
frequency given the probability. For
example, when rolling a number cube
600 times, predict that a 3 or 6 would
be rolled roughly 200 times, but
probably not exactly 200 times.
GAP Lessons
Lesson 2-G
Lesson 2-H
7.SP.7/7.SP.8
L2-G - Compound Probabilities Using
Algebra 1 –old text (Holt,
Rinehart and Winston – 4.3
(Introduction to
Probability)
Punchline – Bridge to
Algebra – pg 108
(Probability
Study Island Common Core
Grade 7 Probability
Khan Academy Coin Flipping Example
Probability with Playing Cards
and Venn Diagrams
Events and Outcomes 1
Events and Outcomes 2
Events and Outcomes 3
Dependent Probability
Example 1
Dependent Probability
Example 2
OreFoc GAP lessons 2-G
and 2-H
Puncline – Bridge to
Algebra pg 109 (The
Need to create common
assessment.
Recommendation is to
have a work sample
Lists, Tree Diagram and Tables
L2-H - Compound Probabilities Using
Multiplication and Simulation
Develop a probability model and use it
to find probabilities of events. Compare
probabilities from a model to observed
frequencies; if the agreement is not
good, explain possible sources of the
discrepancy.
a. Develop a uniform probability
model by assigning equal
probability to all outcomes, and
use the model to determine
probabilities of events. For
example, if a student is selected at
random from a class, find the
probability that Jane will be
selected and the probability that a
girl will be selected.
b. Develop a probability model (which
may not be uniform) by observing
frequencies in data generated from
a chance process. For example, find
the approximate probability that a
spinning penny will land heads up
or that a tossed paper cup will land
open-end down. Do the outcomes
for the spinning penny appear to be
equally likely based on the
observed frequenci
Find probabilities of compound events
using organized lists, tables, tree
counting Principle.
Pg 110 (Independent and
Dependent Events)
Pg 111 (Permutations)
Pg 112 (Combinations)
Khan Academy –
Addition Rule for Probability
Compound Probability of
Independent Events
Independent Events 1
Independent Events 2
Independent Events 3
Punchline – Problem Solving
Pg 135 - 137 (Meaning of
Probability
Pg 138 – (Possible Outcomes:
rule of Counting)
Pg 139 (Independent Events)
problem.
diagrams, and simulation.
a. Understand that, just as with
simple events, the probability of
a compound event is the fraction
of outcomes in the sample space
for which the compound event
occurs.
b. Represent sample spaces for
compound events using methods
such as organized lists, tables
and tree diagrams. For an event
described in everyday language
(e.g., “rolling double sixes”),
identify the outcomes in the
sample space which compose
the event.
c. Design and use a simulation to
generate frequencies for
compound events. For example,
use random digits as a
simulation tool to approximate
the answer to the question: If
40% of donors have type A
blood, what is the probability
that it will take at least 4 donors
to find one with type A blood?
Lesson 15
7.SP.7 (see above description)
L15. Probabilities and Data Displays.
Create and interpret pie charts and
histograms.
OreFoc lesson 15
Punchline –Bridge to
Algebra pgs 104- 105(circle
graphs)
Algebra 1 –old text (Holt,
Rinehart and Winston Pg 106 (histograms)
Algebra 1 –old text (Holt,
Rinehart and Winston – 4.5
(Graphing Data)
4.6 (Other Data Displays)
Lesson 16
Lesson 17
Lesson 18
Lesson 19
7.RP.3
L16. Solving Percents using Proportions
– Find the percent of a number using
proportions.
L17. Solving Percents using Equations –
Find the percent of a number using the
percent equations. Find a missing
number using the percent equation.
L18. Percent of Change. Find the
percent increase or the percent of
decrease between two numbers. Use
percent of change to find new values.
L19. Percent Applications – Solve
problems involving mark-ups,
discounts, tips and taxes.
OreFoc lessons 16,17,18,
and 19
Punchline – Bridge to
Algebra
Pg 88-89, 90-91 (Solving
Proportions.
Pg 94 (Percent of a
Number)
Pg 95-96, 97-98 (Problem
Solving with Percents)
Pg 99 (Percent Increase or
Decrease)
Punchline – Problem
Solving pgs 111-123
BMCC Math 25 sections
7.3 and 7.4 (Solving
Percent Problems Using
Proportions.)
7.5 (Applications of Percents)
7.6 (Sales Tax, Commission,
and Discount)
The following Unit 9 are all GAP lessons not in current curriculum
Unit 9
Sampling and
Statistics
CCSS Content Standard:
What are the grade levels Concepts
and Skills you will teach? Or What
must students learn?
Resources
What materials and
resources will you utilize?
Learning Targets:
When will you teach the
Common Assessments
Block 4 Form B along with
problem solving work
SWBAT
2-I
2-J
7.SP.1
L2-I. Random Sampling
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc – lesson 2-I
Study Island – Common
core Grade 7 Sampling
Understand that statistics can be used to
gain information about a population by
examining a sample of the population;
generalizations about a population from a
sample are valid only if the sample is
representative of that population.
Understand that random sampling tends to
produce representative samples and
support valid inferences.
Analysis
7.SP.2
L2-J. Inferences About a Population
OreFoc – lesson 2-J
Use data from a random sample to draw
inferences about a population with an
unknown characteristic of interest.
Generate multiple samples (or simulated
samples) of the same size to gauge the
variation in estimates or predictions. For
example, estimate the mean word length in
a book by randomly sampling words from
the book; predict the winner of a school
election based on randomly sampled survey
data. Gauge how far off the estimate or
prediction might be.
2-K
7.SP.3/7.SP.4
L2-K. Measures of Center and
Variability in Two Data-Sets
OreFoc – lesson 2-K
Study Island Common Core
Grade 7 Central Tendency &
Variability
7.SP.3 Informally assess the degree of
concepts and skills?
sample at end of unit
lessons.
visual overlap of two numerical data
distributions with similar variabilities,
measuring the difference between the
centers by expressing it as a multiple of a
measure of variability. For example, the
mean height of players on the basketball
team is 10 cm greater than the mean
height of players on the soccer team, about
twice the variability (mean absolute
deviation) on either team; on a dot plot,
the separation between the two
distributions of heights is noticeable.
7.SP.4 Use measures of center and
measures of variability for numerical data
from random samples to draw informal
comparative inferences about two
populations. For example, decide whether
the words in a chapter of a seventh-grade
science book are generally longer than the
words in a chapter of a fourth-grade
science book.
Unit 10
Direct Variation
Lesson 20
CCSS Content Standard:
What are the grade levels Concepts
and Skills you will teach? Or What
must students learn?
SWBAT
6.NS.8
L20. The Coordinate Plane – Recognize
and graph ordered pairs on a
coordinate plane.
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 20
Punchline – Bridge to
Algebra pg 122 (the
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 5Form B along with
problem solving work
sample at end of unit
lessons.
Coordinate Plane)
Lesson 21
8.F.5
L21. Making Sense of Graphs –
Recognize a graph given words and
explain the meaning of graphs.
Focus on Skills – Algebra
Lesson 5 – pgs 15-17
Study Island Common Core
Grade 8 Functional
Relationships
Linear vs. Nonlinear
Describe qualitatively the functional
relationship between two quantities by
analyzing a graph (e.g., where the function
is increasing or decreasing, linear or
nonlinear). Sketch a graph that exhibits the
qualitative features of a function that has
been described verbally.
Lesson 22
Lesson 23
Lesson 24
Lesson 25
7.RP.2
L22. Direct Variation Tables and Graphs
– Recognize direct variation in tables
and graphs.
L23. Direct Variation Equations – Write
and graph direct variation equations.
L24. Recognizing Direct Variation –
Identify direct variation from other
functions given graphs, tables or
equations.
8.F.4
L25. Writing Linear Equations. – Write
linear equations for tables or graphs.
Construct a function to model a linear
relationship between two quantities.
Determine the rate of change and initial
value of the function from a description of
a relationship or from two (x, y) values,
OreFoc lessons 22, 23, 24
Study Island Common Core
Grade 7 Unit Rates
Proportional Relationships
Study Island Common Core
Grade 8 Functional
Relationships
including reading these from a table or
from a graph. Interpret the rate of change
and initial value of a linear function in
terms of the situation it models, and in
terms of its graph or a table of values.
Surface Area &
Volume
½ of March - May
Unit 11
TwoDimensional
Geometry
GAP Lesson
2-L
Mathematical Practices:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
Look for and express regularity in repeated reasoning.
CCSS Content Standard:
What are the grade levels Concepts
and Skills you will teach? Or What
must students learn?
SWBAT
7.G.2
Drawing Geometric Shapes
Resources
What materials and
resources will you utilize?
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc GAP lesson 2-L
Learning Targets:
Common Assessments
When will you teach the
concepts and skills?
Block 1 Form B along with
problem solving work
sample at end of unit
lessons.
Draw (freehand, with ruler and protractor,
and with technology) geometric shapes
with given conditions. Focus on
constructing triangles from three measures
of angles or sides, noticing when the
conditions determine a unique triangle,
more than one triangle, or no triangle.
Lesson 1
Lesson 2
7.G.6
L1. Areas of Triangles and
Parallelograms – Use area formulas to
compute area of geometric shapes and
find missing measures.
L2. Area of a Trapezoid – Understand
and use the trapezoid are formula.
OreFoc lessons 1 and 2
Study Island Common Core
Grade 7 2- & 3-Dimensional
Figures
BMCC Math25 sections
10.1 (Perimeter)
10.2 (Area: rectangles,
squares, parralelograms,
triangles, and trapezoids)
Punchline – Bridge to
Algebra
Pg 152-153 (Area of
Parallelograms, Triangles,
and Trapezoids)
Khan Academy –
Perimeter and Area Basics
Area and Perimeter
Perimeter of a Polygon
Lesson 3
Lesson 4
Lesson 5
Lesson 6
7.G.4
L3. Parts of a Circle – Identify, name
and define parts of circles.
L4. Circumference and PI – Understand
and use the relationship between pi
and diameter to find circumference.
L5. Area of a Circle – Understand and
use the circle area formula.
L6. More Pi – Identify and use common
OreFoc lessons 3, 4, 5, 6
Study Island – Common
Core Grade 7 Circles
Punchline – Bridge to
Algebra – pg 154
(circumference)
Pg 156 (Circumference and
Area of Circles)
Khan Academy –
Lesson 7
estimations of pi.
Circles: Radius, Diameter and
Circumference
Parts of a Circle
Area of a Circle
BMCC Math25 sections –
10.3 (Circles – both
circumference and area)
7.G.4/7.G.6
L7. Composite Figures – Find the area
of composite figures.
OreFoc lesson 7
BMCC Math25 section 10.2
pg 570 problems 43 – 48
Khan Academy –
Perimeter and Area of a NonStandard Polygon
Lesson 8
Lesson 9
Unit 12
TwoDimensional
Geometry
7.G.4/8.G.4
L8. Circle Similarity – Apply properties
of similarity to circles.
HS.G-C.5
L9. Area of Sectors. – Use proportions
to calculate the area of sectors.
CCSS Content Standard:
What are the grade levels Concepts
and Skills you will teach? Or What
must students learn?
OreFoc lesson 8
Resources
What materials and
resources will you utilize?
Learning Targets:
When will you teach the
concepts and skills?
Common Assessments
SWBAT
Lesson 10
Lesson 11
GAP Lesson
2-M
Lesson 12
Lesson 14
Lesson 17
Lesson 20
1.G.2/7.G.6
L10. Three-Dimensional Figures –
Identify the names and qualities of
three-dimensional figures.
7.G.6
L11. Drawing Solids – Sketch and draw
solids in two-dimensions and in three
dimensions.
7.G.3
2-M. Slicing Solids.
7.G.6
L12. Surface Area of Prisms – Calculate
the surface area of prisms.
L14. Surface Area of Regular Pyramids –
Calculate the surface area of regular
pyramids.
L17. Volume of Prisms – Calculate the
volume of prisms.
L20. Volume of Pyramids – Calculate
the volume of pyramids.
Oregon Focus Curriculum
Study Island
Khan Academy
Pizzazz or Punchline Math
OreFoc lesson 10
Study Island Common Core
Grade 7 Area, Surface Area,
& Volume
OreFoc lesson 11
Study Island Common Core
Grade 7 Area, Surface Area,
& Volume
OreFoc GAP lesson 2-M
OreFoc lessons 12, 14, 17,
20
BMCC Math25 section 10.4
(Volume- rectangular
prisms, cubes, cylinders,
spheres, and circular
cones.)
Punchline – Bridge to
Algebra pg 157 (Space
figures)
Pg 158 (Surface Area of
Prisms)
Pg 159 (Surface Area of
Cylinders)
Pg 160 (Volume of Prisms)
Pg 161 (Volume of Prisms)
Pg 162 (Volume of
Cylinders)
Pg 163 (Volume of
Pyramids and Cones)
Pg 164 (Volume of Spheres)
Pg 165 (Volume of
Composite Space Figures)
Khan Academy –
Cylinder Volume and Surface
Area
Volume of a Sphere
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