# Power Standards

**6th grade Power Standards**

**Add and Subtract **

**Fractions****Mixed Numbers**

**Multiply and Divide **

**Fractions****Whole Numbers**

**Simplify Expressions **

**Combining Like Terms****Using the Distributive Property**

**Solving One-Step Equations**

## 7th grade Power Standards

**Everything listed above plus:**

## Fraction Arithmetic

**with positive and negative numbers**

**Simplify Expressions**

**with positive and negative numbers**

**Evaluate Expressions**

**with positive and negative numbers**

**Solving Multi-Step Equations**

**8th grade Power Standards**

**Everything listed above plus:**

**Identify the slope and y-intercept**

**given a graph****given a table****given an equation in slope-intercept form**

**Study for Power Standards Test using Khan Academy:**

**https://docs.google.com/spreadsheets/d/1scjjYPlOUnWKXZOUnAkRqZeYbtT5kBf4YUl2pY-pjpA/edit?usp=sharing**

I can add and subtract using whole numbers and fractions.

## A visual approach to learning fractions. Each topic in this series has a pretest, an instruction section, online practice sessions, worksheet practice, and a test.

**http://www.visualfractions.com/progress/progress.html**

**Fraction Games from visual fractions:**

**http://www.visualfractions.com/Games.htm**

### Unlimited worksheets - Fraction addition and subtraction

**Add & subtract unlike fractions - proper fractions, denominators 2-12****Add & subtract 3 unlike fractions - proper fractions, denominators 2-8****Add & subtract 4 unlike fractions - proper fractions, denominators 2-8****Add & subtract whole numbers, fractions, or mixed numbers - mixed practice; denominators 2-12**

I can multiply and divide using whole numbers and fractions.

## A visual approach to learning fractions. Each topic in this series has a pretest, an instruction section, online practice sessions, worksheet practice, and a test.

**http://www.visualfractions.com/progress/progress.html**

### Unlimited worksheets - Fraction multiplication

*In all fraction multiplication and division problems, it helps to simplify before you multiply.*

**Fraction multiplication 1**- 3 fractions, denominators 2-12**Fraction multiplication 2**- 3 fractions, denominators 2-20**Fraction multiplication 3**- 4 fractions, denominators 2-12

**Mixed number times a mixed number****Mixed multiplication practice 1**(two numbers; fractions, mixed numbers, or whole numbers)**Mixed multiplication practice 2**(three numbers; fractions, mixed numbers, or whole numbers)

### Unlimited worksheets - Fraction division

**Divide a whole number, fraction, or mixed number by a fraction**- mental math, as the answers are whole numbers

I can add and subtract using integers.

### Unlimited worksheets - Addition and Subtraction

I can multiply and divide using integers.

### Unlimited worksheets - Multiplication and Division

**I can use order of operations to simplify numeric expressions.**

### Unlimited worksheets - Order of Operations, positive numbers

**Solve in the correct order: three or four operations****Solve in the correct order: three or four operations with decimal numbers**(round to two decimal digits)

**I can substitute a number for a variable and simplify the expression using the order of operations.**

### Unlimited worksheets - Expressions

**Write a number expression from a verbal expression****Simplify expressions**(by combining like terms; no negative numbers)

I can simplify algebraic expressions.

### Unlimited worksheets - Simplify expressions

**Simplify expressions**(for example −6*z*+*z*− 5 or −7*v*^{3}·*v*^{2})**Simplify expressions - no negative numbers**(for example 4*w*+ 2*w*or*c*· 3 ·*c*·*c*· 7)

I can add and subtract linear expressions.

**I can solve linear equations with one variable.**

### Unlimited worksheets - Solving equations

**One-step equations with whole numbers (no negative numbers involved)****Equations with decimals**(answers may be rounded)**Two-step equations**- constants and coefficients are non-negative whole numbers**Two-step equations**- constants and coefficients may be negative integers

**Challenge: the constants and coefficients are "larger" numbers**(have a larger absolute value)

**Interactive Solving Equations Lesson/Practice:**

**http://www.mathplayground.com/AlgebraEquations.html**

I can identify the slope and y-intercept of a linear relationship when given a table, a graph, an equation, or a situation.

### Unlimited worksheets - Graphing & Slope

**Graph linear equations - easy**(slope is a whole number)**Graph linear equations - medium**(slope can be a fraction)**Find the slope of the line, either from the graph or from the two given points**(slope is a whole number)**Find the slope of the line, either from the graph or from the two given points**(slope can be a fraction)**Graph a line with a given slope and point on it**(slope is a whole number)**Graph a line with a given slope and point on it**(slope may be a fraction)

**Power Standards **

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. *For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. *

*(In general, a/b + c/d = (ad + bc)/bd.)*

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. *For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?*.

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. *For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3*.

Interpret division of a whole number by a unit fraction, and compute such quotients.*For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4*.

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). *For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.*

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Apply properties of operations as strategies to add and subtract rational numbers.

Apply properties of operations as strategies to multiply and divide rational numbers.

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). *For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2*.

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

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, 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.