•  

    Math SCOPE and SEQUENCE       

     
    1st Grading Period 
     
    Whole Number Place Value
    - represent the value of each digit in numbers through 1,000,000,000 using expanded notation and numerals
    - interpret the value of each digit as 10 times the position to the right and 1/10 of the value of the place to the left
    - compare and order whole numbers to 1,000,000,000 (<, >, =)
    - round whole numbers through the hundred thousand place
     
    Addition/Subtraction of Whole Numbers
    - add and subtract whole numbers using the standard algorithm
    - round to the nearest 10, 100, or 1,000 to estimate solutions involving whole numbers
    - represent multi-step problems involving the 4 operations using strip diagrams and equations 
    with a letter standing for the unknown quantity
     
    Multiplication of Whole Numbers
    - determine products of a number times 10 and times 100 
    - represent the product of 2 two-digit numbers using arrays, area models, or equations
    (including perfect squares through 15 x 15)
    - multiply up to a 4 digit number by a 1 digit number
    - multiply a 2 digit number by a 2 digit number
    - strategies may include mental math, partial products, and the commutative, associative,
    and distributive properties
     
    Division of Whole Numbers
    - represent the quotient of up to a 4 digit whole number by a 1 digit whole number using
    arrays, area models, or equations
     
     
     
    2nd Grading Period 
     
    Division of Whole Numbers
    - divide up to a 4 digit dividend by a 1 digit divisor
    - solve problems involving division, including interpreting remainders
     
    Fractions
    - represent a fraction a/b as a sum of fractions 1/b: where a and b are whole
    numbers and b > 0 (including when a > b)
    - decompose a fraction into a sum of fractions with the same denominator
    - determine if two given fractions are equivalent
    - compare two fractions with different numerators and different denominators
    - add and subtract fractions with equal denominators
    - evaluate the reasonableness of sums and differences of fractions using benchmark
    fractions 01/41/23/4, and 1, referring to the same whole 
     
    Input / Output Tables
    - determine products of a number times 10 or times 100 using properties of operations
    and place value understanding
    - generate a number pattern that follows a given rule representing the relationship of the 
    values in the resulting sequence and their position in the sequence
          
     
     
    3rd Grading Period  
     
    Decimal Place Value
    - interpret the value of each digit as 10 times the position to the right and 1/10 of the value of the digit
    to the left
    - represent decimals, including tenths and hundredths, using numerals, expanded notation,
    concrete / visual models, and money
    - compare and order decimals to the hundredths
    - relate decimals to fractions that name tenths and hundredths
    - determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line
    - Add/subtract whole numbers and decimals to the hundredths place
    - represent fractions and decimals to the tenths or hundredths as distances from zero on a number line
     
    Lines, Angles, and 2-D Shapes
    - identify points, lines, line segments, rays, angles, and perpendicular/parallel lines
    - identify and draw one or more lines of symmetry (if they exist)
    - apply knowledge of right angles to identify acute, right, and obtuse triangles
    - classify 2D shapes based on the presence or absence of parallel or perpendicular lines 
    or the presence or absence of angles of a specified size
     
    Angles on a Protractor
    - illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle
    that is "cut out" by the rays of the angle
    - illustrate degrees as the units used to measure an angle, where 1/360 of any circle is 1 degree 
    and an angle that "cuts" n/360 out of any circle whose center is at the angle's vertex has a measure
    of n degrees
    - determine the approximate measures of angles in degrees to the nearest whole number using a protractor
    - determine an angle with a given measure
    - determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one
    or both angle measures
     
    Area and Perimeter
    - determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special 
    form for the perimeter of a square (4s) and the area of a rectangle (l x w)
    - solve problems related to perimeter and area of rectangles where dimensions are whole numbers
     
    Data Analysis
    - represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions
    - solve problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, 
    or stem-and-leaf plot
     
     
     
    4th Grading Period  
     
    Measurement
    - identify relative sizes of measurement units within the customary and metric systems
    - convert measurements within the same measurement system, customary or metric
    - solve problems that deal with measurements of length, intervals of time, liquid volume, mass,
    and money using addition, subtraction, multiplication, or division
     
    Personal Financial Literacy
    - fixed vs variable expenses
    - calculate profit in a given situation
    - compare the advantages and disadvantages of various savings options
    - describe how to allocate a weekly allowance among spending, saving (including for college), and sharing
    - describe the basic purpose of financial institutions (including keeping money safe, borrowing money, and lending)
     
     

    STAAR Test - May