Elementary Mathematics 4th-5th Grade

What Your Child Will Learn

- Interpret multiplication as comparison, for example, 35 is 5 times as many as 7. (4.OA.1)

- Multiply or divide to solve word problems (4.OA.2)
Solve multi-step word problems using the four operations.

- Problems will include interpreting a remainder and/or using equations with a letter standing for the unknown. (4.OA.3)

- Find factor pairs for numbers to 100 and tell if numbers are prime or composite. (4.OA.4)
Understand Patterns with numbers or shapes. (4.OA.5)

Vocabulary

- Factor: A number that is multiplied by another
(factor x factor = product)

- Regrouping: To exchange amounts of equal value to rename a number

- Expanded Form: a graph that shows the frequency of data along a number line

- Multiple: The product of a given whole number and another whole number

- Compare: Tell how a number is related to another number
using >, <, =, or different

- Array: An arrangement of objects in rows and columns

- Identity Property: (Any number times 1 is that number

- Commutative Property: 5 x 7 is the same as 7 x 5

- Associative Property: (2 x 3) x 4 = 2 x (3 x 4)

- Zero Property: Any number times 0 is 0

- Product: The answer to a multiplication problem

- Remainder: The amount left over when a number cannot be divided equally

- Divisor: The number that divides the dividend

- Dividend: A number being divided

- Quotient: the result of a division

- Estimate: To find a number close to an exact amount

Activities At Home

• Draw shapes and divide into different fractions

• Create numbers to use in fractions

• Use measuring cups when baking or cooking

• Pick numbers to create fractions-Practice simplifying them

• Make up numbers, roll numbers with dice, or find numbers (on labels) and compare them

• Find numbers and write them in expanded form

• Make numbers and tell which place value (and/or value) each digit represents

• Place large numbers on a number line

• Collect objects (i.e. Cheerios) and estimate how many

• Draw pictures and make models of numbers

• Practice addition and subtraction facts

What Your Child Will Learn

- Understand multi-digit place value to 1,000,000. (4.NBT.1)

- Read, write, and represent multi-digit whole numbers in standard and expanded form. (4.NBT.2)

- Compare two multi-digit numbers using >, =, and
Round multi-digit whole numbers. (4.NBT.3)

- Fluently add and subtract multi-digit numbers. (4.NBT.4)

- Multiply multi-digit numbers and explain the calculations by using equations,
rectangular arrays, and/or area models. (4.NBT.5)

- Divide multi-digit dividends with one-digit divisors, including interpreting the remainders. (4.NBT.6)

* Grade 4 students work with whole numbers less than or equal to 1,000,000.

Vocabulary

- Place Value: The value of a digit in a number

- Digit: A symbol used to show a number

- Estimate: An approximate calculation that is close to the exact number based on rounding

- Compare: Tell how a number is related to another number using >, <, =, or different

- Rounding: to find the nearest ten, hundred, or thousand (and so on).
For example, 391 rounds up to 400 and 331 rounds up to 300.

- Expanded Form: Writing a number as the sum of the values in each digit

- Regrouping: To exchange amounts of equal value to rename a number

Activities At Home

• Make up numbers, roll numbers with dice, or find numbers (on labels) and compare them

• Find numbers and write them in expanded form

• Make numbers and tell which place value (and/or value) each digit represents

• Place large numbers on a number line • Collect objects (i.e. Cheerios) and estimate how many

• Draw pictures and make models of numbers • Practice addition and subtraction facts

What Your Child Will Learn

- Understand equivalent fractions. (4.NF.1)

- Compare fractions with symbols >,<, or =. (4.NF.2)

- Add and subtract fractions, including mixed numbers with like denominators. (4.NF.3)

- Decompose a fraction into a sum of fractions with the same denominator in more than one way.
Ex: 3/8=1/8+1/8+1/8; 3/8= 1/8+2/8; 2 1/8= 1+1+1/8= 8/8+8/8+1/8. (4.NF.3)

- Add and subtract fractions to solve word problems. (4.NF.3)

- Multiply a fraction by a whole number. Ex: 3 x 2/5= 2/5+2/5+2/5. (4.NF.4)

- Understand a fraction is a multiple of a unit fraction. Ex: 5/4 as the product of 5 x (1/4). (4.NF.4)

- Multiply a fraction by a whole number to solve word problems. (4.NF.4)

- Express and add fractions with denominators 10 and 100. (4.NF.5)

- Read, write, and represent decimal notation for fractions with denominators 10 or 100. (4.NF.6)

- Compare two decimals to hundredths using symbols >, <, or = and justify the conclusions. (4.NF.7)                    

Vocabulary

- Denominator: The number below the bar in a fraction that tells how many equal parts are in the whole

- Compare: Tell how a number is related to another number using <, >, or =.

- Numerator: The number above the bar in a fraction that tells how many pares of the whole

- Unit Fraction: one piece of the whole represented as 1/a.

- Equivalent: (=) having the same value

- Decimal: A number system (based on 10) with one or more digits to the right of the decimal point.

- Mixed Number: A number that is made up of a whole number and a fraction

- Decimal Point: A symbol that seperates dollars and cents in money, and the ones place from the tenths place in decimal numbers.

Activities At Home

- Draw different shapes. Divide them into different fractions.

- Create numbers to use in fractions. Draw these fractions as parts of a whole or set.

- Use measuring cups when baking or cooking.

- Use centimeter paper to draw decimals.

- Relate dimes to tenths and pennies to hundredths and make up decimals using dimes and pennies.

- Use a menu to compare money.

- Roll dice to make decimal numbers and compare them.

- Write decimal numbers in expanded form.

- Write decimal numbers in word form.

- Identify decimals in a newspaper.

- Practice multiplication and division facts.

What Your Child Will Learn

- Convert equivalent measurements in the same measurement system. Ex. 12 in=1 ft. (4.MD.1)

- Solve measurement word problems with distance, time, liquid volumes, masses of objects, and money. (4.MD.2)

- Apply the area and perimeter formulas for rectangles. (4.MD.3)

- Add and subtract fractions on a line plot. (4.MD.4)

- Understand and measure angles. (4.MD.5)

- Measure and draw angles using a protractor. (4.MD.6)

- Break apart an angle into 2 smaller angles and know that the larger angle is the sum of the two smaller angles (4.MD.7)     

Vocabulary

- Perimeter: The distance around and object.

- Capacity: The greatest amount a container can hold.

- Area: The measure, in square units, of the inside of a plane figure.

- Line Plot: A graph that shows the frequency of data along a number line.

- Volume: The number of cubic units that fits inside a solid figure.

- Angles: The figure formed when two rays or line segments share the same endpoint.

- Elapsed Time: The amount of time that passes between two times.

- Protractor: A tool used to measure angles.

Activities At Home

- Use measurement tools when baking or cooking.

- Compare items by length or weight.

- Practice scheduling events to determine elapsed time.

- Use string to measure wrist, neck, and waist and make comparisons.

- Read an analog clock throughout the day.

- Use a stopwatch to keep track on how much T.V is watched throughout the week and how much .time is spent on homework, and compare the two amounts of time.

- Take an object and estimate the weight then use a scale to determine the exact weight, and compare the two amounts.

- Use a ruler to measure objects around the house in inches or centimeters.

- Explore the area and volume of a cereal box.

- Identify real world angles as acute, right, or obtuse.

- Draw shapes. Identify their angles as obtuse, acute, and right angles.

- Draw pictures with intersecting lines, perpendicular lines, and parallel lines.

- Use a ruler to find a perimeter of plane figures.

- Practice multiplication and division facts.

What Your Child Will Learn

- Identify and draw points, lines, line segments, rays, angles (right, acute, obtuse),
and perpendicular and parallel lines in 2-dimensional figures (4.G.1)

- Classify two-dimensional figures. (4.G.2)

- Understand line of symmetry for a two-dimensional figure. (4.G.3)

Vocabulary

- Point: An exact position or location.

- Angles: The figure formed when two rays or line segments share the same endpoint.

- Line: A straight path extending in both directions
with no endpoints.

- Perpendicular Lines: Lines that intersect to form right angles.

- Line Segments: A part of a line that includes
two points, called endpoints, and all the points
between them.

- Parallel Lines: Lines in a plane that never intersect.

- Ray: A part of a line, with one endpoint,
that continues without end in one direction.

- Two-Dimensional Figure: A closed plane figure with length and width.

- Symmetry: When one half of a figure looks like the mirror image of the other half.

Activities At Home

- Name two-dimensional figures and find examples at home.

- Identify, describe, and classify different household objects as two-dimensional figures.

- Identify real world angles as acute, right, or obtuse.

- Draw shapes. Identify their angles as obtuse, acute, and right angles.

- Draw pictures with intersecting lines, perpendicular lines, and parallel lines.

- Use tangrams to make two-dimensional figures.

- Practice multiplication and division facts.