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# Connecticut Common Core Standards Seventh Grade Mathematics resources

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Expressions and Equations

Solve real-life and mathematical problems using numerical and algebraic expressions
and equations.

EE.7.3. Solve multi-step real-life and mathematical problems posed with positive and
negative rational numbers in any form (whole numbers, fractions, and decimals), using tools
strategically. Apply properties of operations to calculate with numbers in any form; convert
between forms as appropriate; and assess the reasonableness of answers using mental
computation and estimation strategies. For example: If a woman making $25 an hour gets a 10%
raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of
$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is
27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this
estimate can be used as a check on the exact computation.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

EE.7.4. 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.

EE.7.4(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 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?

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

EE.7.4(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.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Use properties of operations to generate equivalent expressions.

EE.7.1. Apply properties of operations as strategies to add, subtract, factor, and expand
linear expressions with rational coefficients.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

EE.7.2. Understand that rewriting an expression in different forms in a problem context
can shed light on the problem and how the quantities in it are related. For example, a +
0.05a = 1.05a means that ''increase by 5%'' is the same as ''multiply by 1.05.''

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Geometry

Solve real-life and mathematical problems involving angle measure, area, surface
area, and volume.

G.7.4. Know the formulas for the area and circumference of a circle and use them to
solve problems; give an informal derivation of the relationship between the circumference
and area of a circle.

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Vocabulary Terms Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

G.7.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a
multi-step problem to write and solve simple equations for an unknown angle in a figure.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Draw construct, and describe geometrical figures and describe the relationships
between them.

G.7.1. Solve problems involving scale drawings of geometric figures, including computing
actual lengths and areas from a scale drawing and reproducing a scale drawing at a different
scale.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Mathematical Practices

MP.7.1. Make sense of problems and persevere in solving them.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MP.7.2. Reason abstractly and quantitatively.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

The Number System

Apply and extend previous understandings of operations with fractions to add,
subtract, multiply, and divide rational numbers.

NS.7.1. Apply and extend previous understandings of addition and subtraction to add and
subtract rational numbers; represent addition and subtraction on a horizontal or vertical
number line diagram.

NS.7.1(a) Describe situations in which opposite quantities combine to make 0. For
example, a hydrogen atom has 0 charge because its two constituents are oppositely
charged.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

NS.7.1(b) Understand p + q as the number located a distance |q| from p, in the positive
or negative direction depending on whether q is positive or negative. Show that a number
and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational
numbers by describing real-world contexts.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NS.7.1(c) Understand subtraction of rational numbers as adding the additive inverse, p
- q = p + (-q). Show that the distance between two rational numbers on the number line
is the absolute value of their difference, and apply this principle in real-world
contexts.

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NS.7.1(d) Apply properties of operations as strategies to add and subtract rational
numbers.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NS.7.2. Apply and extend previous understandings of multiplication and division and of
fractions to multiply and divide rational numbers.

NS.7.2(a) Understand that multiplication is extended from fractions to rational numbers
by requiring that operations continue to satisfy the properties of operations,
particularly the distributive property, leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by
describing real-world contexts.

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NS.7.2(b) Understand that integers can be divided, provided that the divisor is not
zero, and every quotient of integers (with non-zero divisor) is a rational number. If p
and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational
numbers by describing real-world contexts.

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NS.7.2(c) Apply properties of operations as strategies to multiply and divide rational
numbers.

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NS.7.2(d) Convert a rational number to a decimal using long division; know that the
decimal form of a rational number terminates in 0s or eventually repeats.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

NS.7.3. Solve real-world and mathematical problems involving the four operations with
rational numbers.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Ratios and Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical
problems.

RP.7.1. 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.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

RP.7.2. Recognize and represent proportional relationships between quantities.

RP.7.2(b) Identify the constant of proportionality (unit rate) in tables, graphs,
equations, diagrams, and verbal descriptions of proportional relationships.

Flip Charts Math: Grade 7

Flip Charts Slope

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

RP.7.3. Use proportional relationships to solve multistep ratio and percent problems.
Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees,
percent increase and decrease, percent error.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

Statistics and Probability

Investigate chance processes and develop, use, and evaluate probability models.

SP.7.5. Understand that the probability of a 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.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

SP.7.6. 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.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

SP.7.7. 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.

SP.7.7(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.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

SP.7.7(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 frequencies?

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

SP.7.8. Find probabilities of compound events using organized lists, tables, tree
diagrams, and simulation.

SP.7.8(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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

SP.7.8(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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

Use random sampling to draw inferences about a population.

SP.7.1. 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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

SP.7.2. 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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability