Mrs. Hartnett's Math Blog: Info. for Learners/Parents/Guardians

Below, I will post links that you might find helpful over the course of the year. You will be able to find links related to our most recent studies toward the top of this page.
Operating with Integers:

The Hot Air Balloon Model for Adding and Subtracting Integers

Sand bags (negative integers) and Hot Air bags (positive integers) can be used to illustrate operations with integers. Bags can be put on (added to) the balloon or taken off (subtracted).
Here is an example: -3 - (-4) = ? The balloon starts at -3 (think of the balloon being 3 feet below sea level or 3 feet below the level of a canyon) and you take off 4 sand bags. Now, think about what happens to a balloon if you remove sand bags, the balloon gets lighter. So, the balloon would go up 4 units. If you think in terms of a vertical number line, it would start at -3 and end up at 1, so -3 - (-4) = 1. To help students make the connection between -3 - (-4) and -3 + (+4), present the addition and subtraction questions using the same numbers.
Another example would include the first addition question as 9 + (-5) and the first subtraction question would then be 9 - (+5). The students see that putting on 5 sand bags (negative) produces the same result as taking off 5 hot air bags (positive).

•Using two-color chips or tiles to model addition of positive and negative integers:

http://learnzillion.com/lessons/1023-add-integers-using-color-counters

Ratios and Proportional Relationships:

Writing an equation to represent a proportion video lesson

https://learnzillion.com/student/lessons/875-write-an-equation-that-expresses-the-relationship-between-two-proportional-quantities

Determining the relationship between two quantities by examining a graph video lesson

https://learnzillion.com/student/lessons/3022-describe-the-relationship-between-measures-by-examining-a-graph

Determining the unit rate by examining a graph video lesson

https://learnzillion.com/student/lessons/3219-determine-the-unit-rate-of-a-proportional-relationship-using-a-graph

Using a ratio table to solve ratio problems video lesson

https://learnzillion.com/lessons/608-solve-missing-values-in-ratio-problems-using-a-table

Using a double number line to solve ratio problems video lesson

http://learnzillion.com/lessons/609-solve-missing-values-in-ratio-problems-using-a-double-number-line

Operating with Rational Numbers:

Multiplying Mixed Numbers Using Visual Representation Video Lesson

https://learnzillion.com/lessons/3362-multiply-mixed-numbers-by-mixed-numbers-using-visual-representations

Multiplying Mixed Numbers by Renaming Fractions Video Lesson

https://learnzillion.com/student/lessons/215-multiply-mixed-numbers-by-renaming-factors

Expressions and Equations:

Convert a Real-World Situation into an Equation video lesson

http://learnzillion.com/lessons/1511-convert-a-realworld-situation-into-an-equation

Using Inverse Operations (sometimes thinking about zero pairs) to Solve Equations video lesson

http://learnzillion.com/lessons/1510-solve-an-equation-using-inverse-operations

How do I determine if my expression matches the situation? video lesson

http://learnzillion.com/lessons/2871-determine-whether-an-algebraic-expression-matches-a-scenario

Writing Expressions to Represent Growth Patterns applet:

http://www2.edc.org/edc-research/curriki/ROLE/lc/sessions/session5/garden.htm

Factoring Expressions (to create equivalent expressions) video lesson:

http://learnzillion.com/lessons/2359-factor-expressions-by-grouping-diagrams

Expanding Expressions (to create equivalent expressions) video lesson:

http://learnzillion.com/lessons/1126-expand-linear-expressions-using-the-distributive-property

Writing expressions from word phrases video lesson:

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-816s.html

Multiplying Integers video link:

http://www.brainingcamp.com/legacy/content/concepts/integer-multiplication/lesson.php

Statistics:

•Box-and Whisker Plot Practice: http://www.geogebratube.org/student/m16492

•Box-and-Whisker Plot Lesson: http://www.brainingcamp.com/resources/math/box-plots/lesson.php

•5 Number Summary Lesson: http://www.sophia.org/tutorials/calculating-a-five-number-summary--5

•Mean Absolute Deviation Lesson: http://learnzillion.com/lessons/536-describe-the-distribution-of-data-using-the-mean-absolute-deviation

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Info. for Learners/Parents/Guardians