Distributive Property (Factoring) With Area Model Problems

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#1 of 7: Mild

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`10e + 18`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`10e`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`18`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#2 of 7: Medium

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`64y + 56z`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`64y`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`56z`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#3 of 7: Medium

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`8p + 72q`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`8p`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`72q`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#4 of 7: Medium

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`7u + 56v`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`7u`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`56v`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#5 of 7: Spicy

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`72m + 96n`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`72m`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`96n`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#6 of 7: Spicy

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`34r + 85s`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`34r`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`85s`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#7 of 7: Spicy

Distributive property (factoring) with area model

<p>Use the area model to write the expression in factored form:</p><p>`48x + 72y`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`48x`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`72y`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

The method of finding factors is known as factoring. The Distributive Property multiplies an existing addition statement which  implies that in an addition related equation, a number outside of the parentheses can be multiplied by every number within the parentheses. Alternatively, a common factor can be factorised and written outside of the parentheses. Practising distributive property using area model problems PDF is an excellent way of solving and understanding factoring problems involving distributive property.

Teachers should provide area model problems pdf to students for better understanding of mathematical operations involving factoring using distributive property as it will clear the fundamental concepts in their minds.

You can also try Distributive Property (Factoring) With Area Model Worksheet and Distributive Property (Factoring) With Area Model Quiz as well for a better understanding of the concepts.

 

The method of finding factors is known as factoring. The Distributive Property multiplies an existing addition statement which  implies that in an addition related equation, a number outside of the parentheses can be multiplied by every number within the parentheses. Alternatively, a common factor can be factorised and written outside of the parentheses. Practising distributive property using area model problems PDF is an excellent way of solving and understanding factoring problems involving distributive property.

Teachers should provide area model problems pdf to students for better understanding of mathematical operations involving factoring using distributive property as it will clear the fundamental concepts in their minds.

You can also try Distributive Property (Factoring) With Area Model Worksheet and Distributive Property (Factoring) With Area Model Quiz as well for a better understanding of the concepts.

 

The method of finding factors is known as factoring. The Distributive Property multiplies an existing addition statement which  implies that in an addition related equation, a number outside of the parentheses can be multiplied by every number within the parentheses. Alternatively, a common factor can be factorised and written outside of the parentheses. Practising distributive property using area model problems PDF is an excellent way of solving and understanding factoring problems involving distributive property.

Teachers should provide area model problems pdf to stud...

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Grade 6
Expressions, Equations, And Inequalities
6.EE.A.3

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”