# First Semester

1st Reporting Period (1st 6W)

## Numbers and Operations (17 days)

TEKS: 7.2; 7.3A, B;

ELPS: C.2.I.5; C.4.F; C.4.G;C.2.I.4;

CCRS: I.A.1,2; I.B.1;

## Rational Numbers

• What is a Rational Number
• Integers and Decimals
• Multiply and Divide
• Exponents, Factors, and Fractions
• Percents
• Operations with Fractions
• Properties of operations
• Associative Property (of Multiplication and Addition)
• Commutative Property (of Multiplication and Addition)
• Distributive Property (of Multiplication Over Addition)

## Rational Numbers Vocabulary

“I can” Statements

• I can add, subtract, multiply and divide rational numbers (including fractions and mixed numbers, with like denominators o with unlike denominators, with/without regrouping).
• I can change freely between improper fractions and mixed numbers.
• I can recognize if my answer is reasonable using estimation.
• I can apply the commutative, associative, and distributive properties appropriately in multiplying and dividing rational numbers.
• I can represent addition and subtraction on horizontal and vertical number lines.
• I can subtract a rational number by adding its opposite (additive inverse).
• I can use the absolute values of numbers on a number line to illustrate both addition and subtraction.
• I can apply properties of operations (commutative, associative, and distributive) to add and subtract rational numbers.
• I can convert a fraction to a decimal using long division.
• I can explain the difference between a rational and an irrational number.
• I can add and subtract rational numbers in real-world situations.
• I can use the four operations to solve problems involving rational numbers.
• I can convert between whole numbers, fractions, and decimals.
• I can estimate and compute in my head to determine whether an answer makes sense.

## Ratios and Proportional Relationships (10 days)

TEKS:  7.4A,C,D; 7.1F,G,E,D,A

ELPS: C.4.D; C.2.E;

CCRS: VIII.A.1,2,3,4,5; VIII.B.1

## Proportional Relationships

• Ratios
• Proportions
• Constant of Proportionality
• Equivalent Ratios
• Ratio Table
• Rates
• Unit Rates
• Constant Rate of Change
• Graphs
• Scale Drawing
• Scale Factor

## Ratio and Proportional Relationships Vocabulary

>>> HOMEWORK >>>>>  Ratio Sample Problems

“I can” Statements

• I can write a ratio as a part-to-part or part-to-whole in different ways (a:b, a to b, a/b).
• I can explain what a part-to-part or part-to-whole relationship means in a given situation.
• I can use models and pictures to relate concepts of ratio, proportion, and percent.
• I can represent and analyze patterns, rules, and functions using tables, graphs, words, and manipulatives.
• I can determine whether two quantities represent a proportional relationship.
• I can recognize, represent, and explain proportions using tables, graphs, equations, diagrams, and verbal descriptions).
• I can determine the appropriate unit rates to use in a given situation, including those with fractions.
• I can compute unit rates.
• I can transfer my understanding of unit rates to multiple real-world problems.
• I can explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

2nd Reporting Period (2nd 6W)

## Multiple Representations of Linear Relationships (16 days)

TEKS: 7.7; 7.10.A,B,C; 7.11.A,C; 7.1.B,C,D,E

ELPS: C.3.B,E; C.1.B; C.4.D,F; C.3.E; C.2.C,D

CCRS: IX.B.1; II.A.1; IX.C.1; II.B.1; IX.A.1,2; B.C.1,2

Proportions and Percents

• Proportions
• Conversions
• Percents
• Percent of Change
• Applications

“I can” Statements

• I can solve a proportion using equivalent ratios.
• I can find the percent of a number in more than one way, such as setting up a proportion, changing the percent to a decimal and multiplying, using benchmark percents (1%, 10%, 50%), or using mental math.
• I can make sense of what percent means in a real-world situation.
• I can use ratio and rate reasoning to solve real-world and mathematical problems.
• I can identify constant and varying rates of change.
• I can describe situations involving constant and varying rates of change.

## Ratios and Proportional Relationships (7 days)

TEKS:  7.4A,C,D; 7.1F,G,E,D,A

ELPS: C.4.D; C.2.E;

CCRS: VIII.A.1,2,3,4,5; VIII.B.1

## Proportionality in Geometry

• Geometry
• Measurement
• Graphing in the Coordinate Plane
• Similarity
• Scale
• Scale Drawing
• Scale Factor

“I can” Statements

• I can locate a point on the coordinate grid using the x-coordinate and y-coordinate (X,Y) .
• I can look for relationships between two variables in a graph.
• I can represent a real world-problem using a coordinate graph.
• I can interpret the coordinate pairs in the context of a real-world problem.
• I can solve problems with scale drawings of geometric figures.
• I can compute actual lengths and area from a scale drawing.
• I can reproduce a scale drawing using a different scale.

3rd Reporting Period (3rd 6W)

## Ratios and Proportional Relationships (11 days)

TEKS:  7.4A,C,D; 7.1F,G,E,D,A

ELPS: C.4.D; C.2.E;

CCRS: VIII.A.1,2,3,4,5; VIII.B.1

## Linear Relationships

• Expressions, Equations, and Inequalities
• Linear Expression
• Equivalent Expressions
• Modeling, Writing and Solving Two-Step Equations
• Modeling, Writing and Solving Two-Step Inequalities
• y = mx + b: Tables and Descriptions
• y = mx + b: Writing and Graphing Equations

“I can” Statements

• I can replace variables with numbers and give the value of the expression.
• I can recognize when two algebraic expressions are equivalent.
• I can write, solve, and interpret two-step equations using known and unknown values.
• I can write, solve, and interpret two-step inequalities using known and unknown values.
• I can represent the solution of an inequality graphically and algebraically.

## Geometric Relationships (8 Days)

TEKS: 7.8.A,B,C; 7.9.A,B,C,D; 7.1.A,C,E,F

ELPS: C.4.D,F; C.3.F.1; C.3.D

CCRS: IV.C.1,2

## Geometric Relationships: Planar Figures

• Two-dimensional figures
• Perimeter
• Area
• Composite Figures
• Angles and Triangles
• Circles
• Circumference, Area

“I can” Statements

• I can calculate perimeter and area of a triangle.
• I can calculate perimeter and area of a rectangle.
• I can calculate perimeter and area of a parallelogram.
• I can describe what happens to the perimeter and area of a 2D shape when the lengths of the sides are doubled.
• I can construct triangles from three measures of angles or sides.
• I can draw (freehand, with ruler and protractor, with technology) geometric shapes with given conditions.
• I can notice when the given conditions determine a unique triangle, more than one triangle, or no triangle.
• I can describe the two-dimensional figures that result from slicing three-dimensional figures.
• I know the formulas for the area and circumference of a circle.
• I can use circle formulas to solve problems.
• I can explain the relationship between the circumference and area of a circle.
• I can 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.
• I can solve real-world and mathematical problems involving 2-dimensional area (triangles, quadrilaterals, polygons)
• I can solve real-world and mathematical problems involving 3-dimensional volume and surface area (cubes and prisms).

# Second Semester

4th Reporting Period (4th 6W)

Unit 05:  Geometric Relationships (8 Days)

TEKS: 7.8.A,B,C; 7.9.A,B,C,D; 7.1.A,C,E,F

ELPS: C.4.D,F; C.3.F.1; C.3.D

CCRS: IV.C.1,2

## Geometric Relationships: Solid Figures

• Solids
• Lateral and Total Surface Area
• The volume of Prisms and Pyramids

“I can” Statements

• I can categorize/sort 2D and 3D shapes by their properties e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.
• I can use my own words to define geometric math terms e.g., vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and another vocabulary as appropriate.
• I can name triangles in two ways – by their sides and by their angles.
• I can identify if planes are parallel, perpendicular or intersecting.
• I can describe what happens to a shape after a reflection, rotation, translation or dilation.
• I can draw similar figures.
• I can build 3d objects with cubes and then draw the front, side, and top view in two dimensions; i.e., projection sets.

## Probability and Statistics (18 days)

TEKS: 7.6.A,B,D,E,H,I; 7.1.C,E,F

ELPS: C.4.C,D,F

CCRS: V.A.1; V.B.1,2; VI.C.1

## Measurement and Data

• Simulation
• Experimental and Theoretical Probability: Simple Event
• Experimental and Theoretical Probability: Making Predictions
• Compound Probability: Independent Events
• Compound Probability: Dependent Events Sampling Activity
• Categorical Data
• Displaying and Analyzing Data
• Dot and Box Plots
• Populations and Samples
• Random sample
• Inference
• Using Probability
• Measures of center
• Measures of variability

“I can” Statements

• I can determine whether generalizations are valid by examining sample size and sampling methods.
• I can use data from a random sample to draw conclusions and make reasonable arguments about a population.
• I can describe sample size and sampling methods that will allow me to make more accurate conclusions and arguments.
• I can generate a sample space to determine the probability of simple or compound events using methods such as organized lists, tables, tree diagrams or simulations.
• I can compare and draw informal inferences about two populations using measures of center (median, mean) and measures of variation (range), visual overlap, and mean absolute deviation.
• I can compare the degree of visual overlap of the data plots from two different populations.
• I can explain what the difference between the two data plots means.
• I can use measures of center and measures of variability to draw informal inferences about two populations.
• I can explain why the numeric probability of an event must be between 0 and 1.
• I can explain the likeliness of an event occurring based on probability.
• I can determine the probability for a single event by collecting and analyzing frequency in a chance process.
• I can explain the difference between experimental and theoretical probability.
• I can develop a model to and use it to find probabilities of events, simple or compound.
• I can compare and contrast probability models and explain discrepancies using those probability models.
• I can design and investigate a simulation that will allow me to collect data to generate frequencies for compound events using sample spaces, organized lists, tables and tree diagrams.

5th Reporting Period (5th 6W)

## Measurement and Data (13 days)

TEKS: 7.6.G,F; 7.12.B,C,F; 7.13.A,E,F; 7.1.A,B,E,F,G

ELPS: C.4.D,F; C.3.C; C.1.F

CCRS: VI.A.1; VI.B.2,3; VI.C.12; V.A.1; V.B.2

## Personal Financial Literacy (14 Days)

TEKS: 7.13.A,B,C,D; 7.1.A,C,F,G

ELPS: C.4.D,F; C.2.1.3

CCRS: II.B.1; II.C.1; I.B.1

## Personal Financial Literacy

• Credit
• Debit
• Deposit
• Overdraft
• Withdraw
• Original Price
• Sales Price
• PFL Taxes, Interest, and Incentives
• Discount Price
• Budgets
• Assets and Liabilities

“I can” Statements

• I can identify fixed and variable expenses.
• I can understand the meaning of Credit and Debit (representing them as positive and negative numbers),
• I can understand the meaning of Deposit, Withdraw, Overdraft, and solve real-world problems.
• I can understand the meaning of Original Price, Discount, Taxes, and Sales Price, and solve real-world problems.
• I can solve the following types of multistep and percent problems: simple interest, taxes, markups, gratuities and commissions, fees, percent increase and decrease, and percent error.

6th Reporting Period (6th 6W)

STAAR Review (20 Days)

TEKS: All

ELPS: All

CCRS: All

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Math 7th Resources from the page of LEAD4WARD

TEKS Snapshot

TEKS Scaffold

Vocabulary

The English Language Proficiency Standards (ELPS)

College and Career Readiness Standards (CCRS)