MATH SKILLS Taught By Semester



 

Math Skills Tested Semester 1  

Text book Chapters 1-6 

Know your multiplication facts well!

Work on daily at home, to increase speed & accuracy.

 

Number Sense / Algebra:  Chapter 1

  • Identify prime and composite numbers
  • Factor a number to prime number only (create a factor tree to find  the prime factorization)
  • Identify a correct factor tree for a given target number
  • Identify an exponent and find its value
  • Convert an exponential number to a standard value
  • Use Order of Operations (PEMDAS) to correctly solve an equation with multiply operations & variables
  • Evaluate (solve) an equation with a single variable (if x is , then)
  • Write a simple equation (including a variable) to match steps in a simple word problem
  • Identify the rule for a function table and use it to find missing amounts in the table
  • Use Distributive Property 5 x 28 = (5 x 20) + (5 x 8)

 

Data, Statistics, & Graphing: Chapter 2

  • Read simple graphs and interpret data presented

  • Bar, line, histograms, & line plots

  • Create simple graphs with data gathered

  • Identify averages in data: mean, median, mode, & range

  • identify positive and negative numbers on a number line


    Ch 3  Decimals Identification (mixed through thousandths)  

  • Show the value of a decimal on an 100’s grid

  • Convert a decimal to an equivalent fraction
  • Identify and locate on a number line
  • Compare using <,>,= signs
  • Order from least to greatest and greatest to least
  • Add & subtract decimals
  • Solve basic word problems that contain decimal amounts

 

FRACTIONS  Ch 4

·        Identify prime numbers, know how to find common factors

·        Locate, identify, and graph simple, improper fractions, & mixed numbers on a NUMBER LINE

·        Create equivalent fractions using common factors to find simplest form

·        Identify equivalent fractions i.e. ½ =?/6 or ¼ = .75 or .50 = ½

·        Change mixed numbers to improper i.e. 2 1/4 = 9/4

·        Change improper fractions to mixed numbers i.e. 13/3 = 4 1/3

·        Add & subtract like and unlike denominators

Number Sense: (Ch 1, 2, 3, & 4)

  • Round numbers: whole and decimal
  • Identify value of a digit in different places: billions to thousandths
  • Solve word problems with all four operations using whole and fractional numbers, including decimal amounts.  

Reasoning (all chapters)

  • Match simple equations to a simple word problems using varied operations (+, -, divide, x}

Ch 5 Identify & Add & Subtract LIke & Unlike FRACTIONS 

·        Locate, identify, and graph simple, improper fractions, & mixed numbers on a NUMBER LINE

·       Add & subtract like and unlike denominators

·        Add mixed numbers and simplify i.e. 2 ½ + 5 2/5 = ?

·        Subtract mixed numbers and simplify i.e. 3 5/6 – 2 3/5 = ?


Ch  6 FRACTIONS 

·        Multiply & divide fractions & mixed numbers

·        Divide simple fractions and simplify to lowest terms

i.e. ½ divided by 1/3 = ½ times 3/1 which equals 3/2..

3/2 is then simplified to 1 ½ , the final answer.

Remember: When dividing fractions, DON’T; instead multiply by the reciprocal

(i.e., the reciprocal of 1/3 is 3/1.  You just flip the divisor!)
multiply decimals
divide decimals including decimal into whole number and decimal into decimal 

  • ·        Convert fraction to decimal using division of numerator by denominator 

                 i.e. 2/5 = 2 divided by 5 = .4

    ·        Word Problems (many!) What is one half of 4/5?

 

 

 

Math Skills Tested Semester 2

Text book Chapters 7-11 

 Know your multiplication facts well!

  • Be able to read word problems and match number sentences to solve
  • Know divisibility rules to easily find LCD and common factors
  • Continue practicing what was taught in Tri 1 and become quite proficient

 


  • Chapter 7 
    •  Locate, identify, and graph positive & negative integers on a NUMBER LINE
    • add & subtract positive and negative integers 
    • solve basic equations with a variable using Order of Operations and the if, then reasoning

     

    Ongoing:

    Show equivalency with decimals, fractions, and decimals and solving simple Algebra equations with a single variable


    Ch 8 Ratios, Functions, Graphing Linear Equations, & Probability

  • Ch 9 Percentage and Circle Graphs

  • Ch 10  Geometry: Lines, Angles, 2-D Shapes & their Area

  • Ch 11 Geometry: Perimiter, Area, Surface Area, Volume of 3-D shapes

  • name & identify angles by protractor measurement: obtuse, acute, right, & straight
    name & identify triangle by angle measurement: obtuse, acute, right
    name & identify triangle using side length: equilateral, isosceles, & scalene
    identify vertical angles: opposite angles which have the SAME measurement
    compute the missing measurement in a triangle using the formula x degrees + y degrees +z degrees = 180 degrees
    compute the missing measurement in a quadrilateral using the formula x degrees + y degrees +z degrees = 360 degrees

    compute peRIMeter of a quadrilateral using the formula P= l + l + w w  or of a square using P = 4S
    compute Area of a shape using the formula P= l times w and giving the units as SQUARED!

  •  compute the area of complex shapes by separating into simple shapes and adding area together

  • compute surface area of 3-d shapes using formulas, ie A= LW, A=BH

  • identify varied 3-d shapes

  • compute volume of 3-d shapes using the formula V=BHD

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