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Student Interest
A key element in teaching mathematics is to make students actually WANT to be there. This means not only answering the age-old question “When am i gonna use this stuff?”
Simplifying polynomials
Example 1: Simplify. x – 3x -y -11y -4x – 3 Solution 1: (x-3x-4x) plus (-y-11y) equals -6x -12y. Example 2: simplify. 5(a-3b)-6(2a-3b) Solution 2: 5a-15b-12a plus 18b)
Vocabulary of algebra grade 7
Polynomials are algebraic expressions of three main types. Monomials, binomials, and trinomials. One termed expressions are referred to as monomials. Ex 3xy two termed expressions
Factoring grade 7
When we factor a polynomial we are taking a sum or difference of terms and writing them as a product of factors.Example . Ax – Ay equals A(x-y). The factors are A and x-y. Th
Applications to Fractions
Ex. 1 Mary ate 3 slices of her 8 slice pizza. Write the slices of pizza that Mary ate as a fraction. Soln. 3/8. Ex2. Jim and Peter did 3/5 work and 2/3 work on building a boat. Wor
Pre-Elementary Word Problems for the addition, subtraction, multiplication and division of numbers
Ex 1. Mary had 6 dogs and Peter had 8 dogs. How many dogs did they have in total? Soln: 6 plus 8 equals 14. Ex. 2 John had 12 kittens. Bill had 3 less kittens. How many kittens did
Ordering numbers
Ordering a set of numbers means arranging them from smallest to largest. For example, to order the set of whole numbers, W=0,1,2,3,4,…, you simply list them in ascending order as
Working in groups
The best learning takes place when the students pair up and work in groups of two. Students can then take their work from one another or teach one another so they can learn from ea
Graphs of real numbers on the number line and classifying real numbers
To visualize and classify real numbers, we can graph them on a number line and identify their types. For example, consider the following: In Example 1, let’s graph: In Example 2,
Multiplication and addition of negative numbers
When multiplying and dividing negative numbers, remember that multiplying two negative numbers gives a positive result, while multiplying a negative and a positive number results i
Adding and subtracting integers an application temperature
If the temperature drops from -3°C to -12°C, the change is calculated as −12−(−3), resulting in -9°C. This demonstrates that the change in temperature is found by subtract
Volume of a rectangular solid or a cube
To find the volume of a rectangular solid, multiply its length, width, and height. For example, a solid with dimensions 2 cm by 3 cm by 5 cm has a volume of 2 × 3 × 5, equaling 3