Brian McLogan
What is synthetic division and how do we set it up
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the unknown, the solution for...
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How to Classify Real Numbers
This lesson reviews key vocabulary of real numbers. A Venn Diagram is used to classify real numbers. You will learn how to use vocabulary words - whole, integer, rational, irrational and real to classify numbers. Grade 8 Common Core...
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Reading and Writing Whole Numbers (Base-ten numerals)
Read and write multi-digit whole numbers in base-ten numerals.
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Long Division with Remainder (Part 2)
Find whole-number quotients and remainders by dividing whole numbers up to four-digits (dividend) by one-digit whole numbers (divisor) using long division (standard algorithm).
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Present Box (Find the volume of a rectangular prism with fractional edge lengths)
Cathy is planning to ship a present to her brother. She wants to make sure the box she purchased has a volume large enough to contain the gift. Can you help her find the volume of the box?
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Multiplication as Resizing (Part 2)
Interpreting multiplication as resizing with a scale factor greater than, less than or equal to 1.
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Counting Siblings (Draw a line plot to represent data with several categories.)
Suppose we want to count the number of brothers and sisters each student has in John's class and then represent the information in a line plot.
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Patterns in the Multiplication Table and The number 5
Patterns in the multiplication table and the number 5.
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Subtraction of Rational Numbers in Real World (Part 1)
Apply the subtraction of rational numbers in a real-world situation.
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Subtracting Rational Numbers: Fractions
Subtract two rational numbers in fraction form.
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Charity Jars (Part 2) (Use equivalent fractions to solve word problems involving addition of fractions with like and unlike denominators)
Alex owns a supermarket; she placed an empty charity jar of the same size on each of her two counters. Jar A is marked by the following scale of fractions, one thirds, two thirds, 1. And jar B is marked by the following scale, one fifth,...
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The Intersection (Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems)
Main and commercial streets intersect at a 120 degrees angle. If broadways is another street that is between them and it is perpendicular to Main street. What is the angle between Broadway and commercial streets?
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Short Division
Find whole-number quotients and remainders by dividing whole numbers of up to four-digits (dividend) by one-digit whole numbers (divisor) using a short division method.
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Fractions as a Sum of Parts Using Area Models
Decompose a fraction (x/y) into a sum of parts (a/y + b/y + ...) using visual models.
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Chicken and Eggs (Solve multiplicative comparison word problems involving finding the size of the group using drawings)
Flopsy and Mopsy are egg-laying chickens. Today Flopsy laid 8 eggs, then she asked Mopsy: How many eggs did you lay today? Mopsy likes riddles, so she didn't answer the question directly. She said to Flopsy: You laid 4 times as many eggs...
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Ron's Marbles (Combine unit fractional measurements of mass in standard units using the number line.)
Ron sells marbles in bags that weigh one eighth of a kilogram each. A customer bought 2 bags of marbles. What is the total weight of marbles the customer bought?
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
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Making Pastries (Use visual models to solve word problems involving subtraction of fractions with like and unlike denominators)
Amanda had a bag of pastry flour that weighed 3 and nine twelfths pounds. This weekend she made two different types of pastry, for one recipe Amanda used one twelfth of a pound and for the other 1 and one sixth pounds of flour. How much...
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Evaluating Expressions
Evaluate numerical statements that contain bracketed expressions according to the order of precedence.
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Categories of Quadrilaterals (Part 1)
Identifying quadrilaterals in a hierarchy based on their properties.
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Multiplication Table (Part 1)
Understand the basic properties of multiplication and the multiplication table.