CPLC 


Parent Helper

Using the California Content Standards Everyday

Fourth and Fifth Grade Math

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 Chapin-Pinotti Learning Center 


 

The Importance of Parent Involvement

What you say matters!

 

o     Parents what you say to your child matters.

o     90% of all learning takes place at home

o     Comments such as: “I was never good at math (spelling, reading…etc.)” should be avoided.

                     Statements like this gives your child permission to fail.

o     Positive reinforcement:

o       We can work on this for five minutes everyday 

o       We can learn it together

o       We can make it fun and simple

 

         

 


How to Study and Get Results

 

o     Environment that allows the student to focus

o       This is individual to each student

o     Study should be in regular, doable intervals

o       Model: Half hour of work – ten minute break

o       Frustration yields no results!

§      Avoid emotional conflict – Step away from the work!

·        Take a walk

·        Have a snack

·        Get out and get moving

§      Then come back and try a different approach

o     Learning is active!

o       Reading – out loud

o       Math – work it out on paper and verbally

 

 

Sample Study Schedule

Snack

After School Activity

10 to 30 Minutes of Math

Take a Break

Finish out remaining work

Take a Break

10 to 30 Minutes of Reading

 

*Incorporate Handbook Activities throughout the day

 

 

 

For More Tips go to www.chapinpinottilearningcenter.com


 

 

Fourth and Fifth

Parent/Student Math Activities

 

 

 


Fourth Grade Math

 

Number Sense

 

The core part of Fourth Grade Math Standards is the Number Sense strand…

 

Number Sense is…

v      learning to count and recognize whole numbers to 1,000,000

v      compare and order whole numbers and decimals to two places

v      round whole numbers

v      Understand and know fraction and decimal equivalents for halves and fourths

v      add, subtract, multiply and divide

v      use concepts of negative numbers

v      compare and solve fractions

v      identify relationship of fractions, decimals and mixed numbers on a number line

v      understand the relationship between fractions and decimals

v      add, subtract, multiply and divide multi-digit numbers

v      solve division of multi-digit numbers by one digit numbers

v      understand prime numbers

 

Algebra and Functions

 

In the Algebra and Functions Fourth Graders will be asked to…

v      Understand what a variable is

v      Solve numeric equations containing both numbers and variables

v      Solve numeric inequalities

v      Order of Operations

v      Use formulas to answer questions about quantities and their relationships.

Measurement and Geometry

 

Fourth Graders will be specifically asked to:

v      Know the difference between units to measure liquids and units to measure solids – weights and lengths

v      Estimate or determine area and volume of solid figures by counting the number of cubes that would fill them

v      Convert simple units within a system of measure – hours to minutes, inches to feet

v      Calculate area and perimeter of polygons

v      Use formulas of shape figures to calculate their areas and perimeters

v      Identify and classify common 3- objects: cubes, prisms

Statistics, Data Analysis, and Probability

 

In this section students will be asked to:

v       Identify whether common events are alike or different

v       Calculate mean, median and mode

v       Use a bar graph or line plot to summarize data

v       Conduct surveys and analyze data


Fifth Grade Math

 

Number Sense

 

Fifth Grade Number Sense includes:

v                  learn to count and recognize whole numbers into the millions

v                  decimals into the millionths

v                  compare and order whole numbers and decimals

v                  round whole numbers

v                  Understand and know fractions and decimals – adding, subtracting, multiplying and dividing

v                  add, subtract, multiply and divide whole numbers

v                  use concepts of negative numbers

v                  identify relationship of fractions, decimals and mixed numbers on a number line

v                  understand the relationship between fractions and decimals

v                  add, subtract, multiply and divide multi-digit numbers

v                  understand prime numbers

v                  factor to prime numbers

v                  Work percents

 

Algebra and Function

 

For Algebra and Functions Fifth Graders:

v      Understand what a variable is

v      Solve numeric equations containing both numbers and variables

v      Solve numeric inequalities

v      Order of Operations

v      Use formulas to answer questions about quantities and their relationships.

 

Measurement and Geometry

Fifth Graders will be specifically asked to:

v      Know the difference between units to measure liquids and units to measure solids – weights and lengths

v      Estimate or determine area and volume of solid figures by counting the number of cubes that would fill them

v      Convert simple units within a system of measure – hours to minutes, inches to feet

v      Calculate area and perimeter of polygons

v      Use formulas of shape figures to calculate their areas and perimeters

v      Identify and classify common 3D objects: cubes, prisms

Statistics, Data Analysis, and Probability

In this section students will be asked to:

 

v       Identify whether common events are alike or different

v       Calculate mean, median and mode

v       Use a bar graph or line plot to summarize data

v       Conduct surveys and analyze data

 


 Common Definitions

 

Angles

Right angle (90 degrees), Acute angle (less than 90 degrees), Obtuse angle (between 90 and 180 degrees), Full rotation (360 degrees), Straight line (180 degrees), Reflex angle (between 180 and 360 degrees).

                                                                Right angle               acute angle          obtuse angle  

Right angle = 90 degrees

Acute angle = less than 90 degrees

Obtuse angle = between 90 degrees and 180 degrees

 

Triangles

All shapes with 3 straight sides are called triangles. Here are some different types of triangles:

Equilateral triangles have:

Þ       3 equal sides

Þ       3 equal angles.

Isosceles triangles have:

Þ       2 equal sides

 

The sum of the three angles of a triangle is always 180

 

Classifying Triangles by their angles:

 

Þ       A RIGHT triangle has one 90o angle.

Þ       An OBTUSE triangle has one angle that is greater than 90o.

 

Finding the 3rd Angle of a Triangle

 

If you add up all of the angles of a triangle you will get 180o.

                           Angle 1 +  Angle 2 + Angle 3 = 180o

So, if you know the measure of two angles – you can always find the third.

 

Quadrilaterals

All shapes with 4 straight sides are called quadrilaterals.

 

A square is a special rectangle with 4 equal sides and 4 equal angles (all 90°).

 

 

 


A rectangle has 2 pairs of equal sides and 4 equal angles (all 90°).

 

 

 


A rhombus has 4 equal sides with opposite sides parallel and opposite angles equal.

 

 

 

A parallelogram has opposite sides equal and parallel.

 

 

 


A trapezoid has one pair of parallel sides of different lengths.

 

 



Multiplication Tic-Tac-Toe

 

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Materials:     small paper clip

                   Grid

 

To Play:

1.      Player 1 puts a paper clip under the set of numbers, below the grid, and then multiplies those numbers together.  He/she then puts his/her mark on the corresponding answer on the grid.

2.      Player 2 must move only one paper clip to a new factor.  Player two multiplies these two factors and places his/her mark on the corresponding answer.

3.      Play continues until one person has for marks in a row – wither diagonally, horizontally or vertically.

 

When you master 5 x 5 – try 6 x 6!

 

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Label Your House:

 

Math vocabulary is probably the trickiest part of learning new concepts.  Check the glossary in the back of your child’s math book.  Make sticky notes and tack them around the house.  Label the shapes of objects and write words and definitions for groups of words in the same word – fraction words, the kitchen.  This will help your child group words to concepts in hi/her head.


 

 

Divisibility Rules

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If the sum of the digits is divisible by three, the number is also

4

If the last two digits are divisible by 4, the number is also

5

If the last digit is a 5 or a 0, the number is divisible by 5.

6

If the number is divisible by both 3 and 2, it is also divisible by 6.

7

Take the last digit, double it, and subtract it from the rest of the number; if the answer is divisible by 7 (including 0), then the number is also

8

If the last three digits are divisible by 8, the number is also

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If the sum of the digits is divisible by 9, the number is also. *This holds for any power of 3

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If the number ends in 0, it is divisible by 10.

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Subtract the sum of the even digits from the sum of the odd digits; if the difference, including 0, is divisible by 11, the number is also.

12

If the number is divisible by both 3 and 4, it is also divisible by 12.

13

Delete the last digit from the number, then subtract 9 times the deleted digit from the remaining number. If what is left is divisible by 13, then so is the original number.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Notes