In this lesson, students will calculate savings for different products when using coupons. They will also decide what factors will influence the choices they make when choosing products. Students will practice adding, subtracting, multiplying, and dividing monetary amounts using decimals to the hundredths place.

Content Standard(s):

Mathematics MA2019 (2019) Grade: 4

22. Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.

a. Solve measurement problems involving simple fractions or decimals.

b. Solve measurement problems that require expressing measurements given in a larger unit in terms of a smaller unit.

c. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Unpacked Content

Evidence Of Student Attainment:

Students: When given multistep word problems involving units of measure will,

Represent and solve world problems involving whole number measurements and require expressing measurements when given a larger unit in terms of a smaller unit.

Example: Given a picture frame which is 2 feet long and 8 inches wide, express the perimeter of the picture frame in inches.

Represent and solve word problems involving two measurements given in the same units, one a whole number measurement and the other a non-whole number measurement.

Example: Given a picture frame with dimensions 1/2 ft and 8 in, express the perimeter of the picture frame in inches.

Use visual representations to illustrate a measurement scale.

Note: Quantities are limited to expectations in grade 4 standards and operations will not include division of fractions or decimals.

Teacher Vocabulary:

Operations

Distance

Intervals of time

Liquid volume

Mass

Number line diagram

Measurement scale

Knowledge:

Students know:

Relative sizes of units within one system of measurement.

Strategies to solve word problems involving the four operations.

Measurement units in the same system are multiplicatively related.

Skills:

Students are able to:

Solve measurement word problems

Involving distance, intervals of time, liquid volume, mass, and money.

Involving measurement conversion of larger units to a smaller unit.

Involving simple fractions or decimals.

Using diagrams to represent measurement quantities and solutions.

Note: Quantities and operations are limited to grade 4 standard expectations.

Understanding:

Students understand that:

Relationships among units within a system of measurement are multiplicative comparisons.

The size of the unit of measurement and the number of units are inversely related.

Addition and subtraction of measurements require measurements in the same unit and that the common unit is maintained in the answer.

Diverse Learning Needs:

Essential Skills:

Learning Objectives: M.4.22.1: Define distance, time, elapsed time, volume, mass.
M.4.22.2: Determine elapsed time to the day with calendars and to the hour with a clock.
M.4.22.3: Express liquid volumes and masses of objects using standard units of grams, kilograms, and liters.
M.4.22.4: Use addition, subtraction, multiplication and division to solve one- and two-step word problems.
M.4.22.5: Recognize key terms to solve word problems.
M.4.22.6: Recall basic facts for addition, subtraction, multiplication, and division.
M.4.22.7: Identify monetary equivalents. Examples: four quarters equal one dollar, five one-dollar bills equals five dollars.

Prior Knowledge Skills:

Define liquid volume, mass, grams, kilograms, and liters.

Recognize how the standard units of measure compare to one another.

Identify key terms for word problems.
Examples: Difference, altogether, in all, between.

Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.

Recall basic addition, subtraction, multiplication, and division facts.

Describe measurable attributes of objects such as length or weight. Describe several measurable attributes of a single object.

Compare equivalent units of time using hours and minutes.
Examples: 60 minutes = one hour, 30 minutes = one half of an hour.

Recognize key vocabulary and/or phrases associated with time. Examples: Quarter 'til = 15 minutes before; half past the hour = 30 minutes after the hour M. 3.16.3: Compare the lengths of time to complete everyday activities. Examples: Brushing your teeth = about 2 minutes; riding the bus = about 20 minutes.

Alabama Alternate Achievement Standards

AAS Standard: M.AAS.4.22 Using vocalization, sign language, augmentative communication, or assistive technology, tell time on a digital and analog clock (to the hour, half-hour, quarter hour).
M.AAS.4.22a Measure mass, volume, or lengths of an object when given a measurement tool.
M.AAS.4.22b Using vocalization, sign language, augmentative communication, or assistive technology, identify and determine the value of penny, nickel, dime, and quarter.

Mathematics MA2019 (2019) Grade: 5

8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.

Unpacked Content

Evidence Of Student Attainment:

Students:

Use strategies based on place value, properties of operations, and relationship between addition and subtraction to find sums and differences of decimals.

Use strategies based on place value, properties of operations, and relationship between multiplication and division to find products and quotients of decimals.

Use models to justify the sum, difference, product or quotient of decimals.

Solve real-world problems with decimals to hundredths.

Note: Products are limited to thousandths and quotients are either whole numbers or decimals terminating at the tenths or hundredths place.

Teacher Vocabulary:

Decimal

Tenths

Hundredths

Place value

Knowledge:

Students know:

Strategies based on place value understanding, properties, and relationship between operations to find the sum, difference, product, and quotient of whole numbers.

How to write decimal notation for fractions with denominators of 10 or 100.

Use estimation strategies to assess reasonableness of answers.

Skills:

Students are able to:

Use concrete models, drawings, and strategies to add, subtract, multiply, and divide decimals.

Relate strategies for operations with decimals to a written method and explain reasoning used.

Students understand that: Problems involving operations with decimals

Can be solved using a variety of strategies based on place value, properties of operations, or the relationship between the operations.

Can be illustrated using concrete models or drawings.

Diverse Learning Needs:

Essential Skills:

Learning Objectives: M.5.8.1: Use decimal notation for fractions with denominators 10 or 100.
M.5.8.2: Multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.
M.5.8.3: Add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
M.5.8.4: Apply properties of operations as strategies to multiply and divide.
M.5.8.5: Identify that 100 can be thought of as a bundle of ten tens, called a "hundred".
M.5.8.6: Identify that the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).
M.5.8.7: Recall basic addition, subtraction, multiplication, and division facts.

Prior Knowledge Skills:

Use fraction equivalence to add and subtract fractions and mixed numbers with unlike denominators.

Find whole number quotients and remainders using a variety of strategies based on place value and properties of operations.

Illustrate and explain the calculation using equations, arrays, and area models.

Use concrete models, drawings, and strategies to add, subtract, multiply, and divide decimals.

Relate strategies for operations with decimals to a written method and explain reasoning used.