Arithmetic and Pre-Algebra Teacher Resources
Most elementary and middle schools just call this "Math". Here we cover everything from counting, number operations, and fractions to evaluating basic expressions and equations. All of this adds up to preparation for the eventual study of Algebra.
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Curated OER
Adding Integers with Counters
Students add integers and use counters to create a visual. In this algebra lesson, students work in pairs as they use the computer to add integers. They complete an assessment on adding integers at the end of the activity.
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How Do You Subtract Polynomials Vertically?
Subtract polynomials? Huh? First off, find the additive inverse of the number you are subtracting. Next, rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders. Now, add the...
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How Do You Determine Which Operations to Use in a Word Problem?
Word problems can be tricky. Lucky for you there are key words that can help you identify the operation needed to successfully complete any word problem. This tutorial helps you pick out key words and what those words indicate in terms...
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How Do You Solve a Two-Step Equation with Fractions by Multiplying Away the Fraction?
The instructor shows how to first multiply an equation to get rid of the fraction. This is one method to solving a multi-step equation. After getting rid of the fraction, he shows how to use the addition property of equality to further...
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What is a Multiple?
Multiplication is just repeated addition. Multiples are products of multiplying the same number, or of adding the same number repeatedly. It is useful to know about multiples to find least common multiples between numbers. Watch this...
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Algebra
In this algebra worksheet, 6th graders solve for the variables multiplied by numbers in addition problems. Students complete 72 problems.
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What's an Identity?
Identity properties are operations to numbers that keep the numbers exactly the same. What? Does this sound confusing? The teacher explains all of the identity properties: 0 is the additive identity, and 1 is the multiplicative identity.
Math-U-See
Algebra 1 Readiness Test
Your learners will appreciate this assessment of basic skill calculations that are prerequisite to Algebra1. Adding, subtracting, multiplying, and dividing procedures are addressed in conjunction with whole numbers, decimals, fractions,...
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How Do You Add Integers Using a Number Line?
Confused about adding integers? Use a number line to help you get a visual on which way to move according to the sign of the numbers. Negative means you move left on the number line and then of course positive numbers mean you move to...
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How Do You Solve a Two-Step Equation by Multiplying by -1 First?
So what do you do when you have to solve an equation that has a negative variable? There are a couple of ways to solve this problem. In this video, the instructor first demonstrates how to use the multiplication property of -1 to get rid...
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How Do You Solve a Multi-Step Inequality Using Reverse Order of Operations?
Investigate inequalities with this instructional video. A lecturer presents an inequality that will take multiple steps to complete and works through the problem step-by-step, numbering and labeling each action she takes. This video is...
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How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?
Are your young mathematicians having trouble with subtracting mixed fractions? Consider this video to supplement your teaching. An instructor explains step-by-step how to subtract mixed fractions with unlike denominators showing viewers...
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How Do You Simplify an Expression?
If you know how to use the distributive property and you know how to combine like terms, then you can simplify this expression.
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How Do You Solve a Multi-Step Inequality?
Investigate inequalities with this instructional video. A lecturer presents an inequality that will take multiple steps to complete and works through the problem step-by-step, numbering and labeling each action she takes. This video is...
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How Do You Solve a Two-Step Equation by Multiplying by a Reciprocal?
Love those fractions?!? This lesson involves using the multiplication property of equality to eliminate the fraction in the given equation. In this equation, (2/3)( x-4)=4, the reciprocal of the fraction is used to eliminate it. The...
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How Do You Add Like Terms?
Do you want to combine like terms the long way, or the quick way? Well, the instructor shows you both ways, and I bet you will prefer to combine like terms the quick way.
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Writing Number Sentences
Students practice writing number sentences. After reading real world problems, they describe the same situation by writing a number sentence. Students use algebra tiles, or counters, to demonstrate the use zero pairs in solving...
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How Do You Add Variables that Are the Same?
The teacher explains that adding many variables that are the same is like multiplying them. She writes one example using whole numbers and one example with variables.
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How Do You Add Decimals?
Need a review for adding decimals? Make sure to line up the decimals, write in zeros for placeholders, add the numbers, bring down the decimal. There you have it.
Delaware Math Cadre Elementary Committee
Operations and Algebraic Thinking
How to use the relationship between multiplication and division to solve math word problems is the focus of the lesson presented here. In it, fourth graders work in groups to solve problems posed by the teacher. Then, each group is given...
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Incredible Integers!
There are three parts to this lesson on integers. In the first, learners explore positive and negative numbers on an actual painter's tape number line and by playing a "Hot Seat" game. In part two, they view a BrainPop video and work...
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What's a Monomial?
Monomials are numbers, variables, product of number(s) and variable(s). However, any expression with addition, subtraction or division in it is not a monomial. The instructor gives many examples.
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How Do You Evaluate an Expression with Exponents?
An algebraic expression and a given value for the variable. Use the substitution property of equality to plug in the given value and solve the expression. Be careful and use the order of operations correctly because there is an exponent...
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Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra lesson, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using...
