EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
EngageNY
The Relationship of Multiplication and Addition
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The instructional activity focuses on expressions related to...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Factoring Expressions
Factor in an informative resource when teaching about factoring. The 11th lesson in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...
EngageNY
Writing Division Expressions
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
EngageNY
Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
EngageNY
The Relationship of Addition and Subtraction
Add an outstanding resource to your repertoire. The first installment of a 36-part module looks at the relationship between addition and subtraction through an activity using tape diagrams. Pupils develop the identities w – x + x = w and...
EngageNY
Mid-Module Assessment Task: Grade 6 Math Module 4
Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
EngageNY
The Relationship of Multiplication and Division
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson, pupils discover the relationship between multiplication and division. They develop the...
EngageNY
Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
EngageNY
Read Expressions in Which Letters Stand for Numbers
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
EngageNY
Read Expressions in Which Letters Stand for Numbers III
Those key operation words sure come in handy. Groups continue their work with converting between different notations for algebraic expressions. They work in stations to write the symbolic form for given verbal phrases. This is the 17th...
EngageNY
End-of-Module Assessment Task: Grade 6 Math Module 4
Finish out the module with a bang. The last installment of a 36-part module is an end-of-module assessment task. Test takers set up equations to represent relationships and solve problems in an assortment of contexts.
EngageNY
Associated Ratios and the Value of a Ratio
Do ratios have values? The seventh instructional activity in a series of 29 introduces the value of a ratio. Pupils create associated ratios to a given ratio. They also describe the fraction associated to the ratio as the value of the...
Achieve3000
Context Clues and Idioms
Kids practice using five types of context clues (definition, synonym, antonym, example, and general) to decode idiomatic language.
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
EngageNY
Analyzing Graphs—Water Usage During a Typical Day at School
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and labels of...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to determine...
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