**First Semester **

1st Reporting Period (1^{st} 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
- Add and Subtract
- 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 make and answer questions about a graph.
- 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 (3^{rd} 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 (4^{th} 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 (5^{th} 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 (6^{th} 6W)

**STAAR Review (20 Days)**

TEKS: All

ELPS: All

CCRS: All

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Math 7th Resources from the page of **LEAD4WARD**