Ray's for Today Arithmetic

Ray's Classic Arithmetic in an Updated Format!

Level 5 - Ages 10 and 11
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Level 5

by Lori Coeman - READ MORE and Joyce Bohn - READ MORE

Level 5
The main learning objectives for the fifth level of Ray’s for Today are to:
  • be proficient at recognizing and working with numbers through the billions
  • be proficient at multiplying and dividing by a multi-digit number
  • be proficient at all four operations with fractions and mixed numbers
  • be proficient with decimal concepts
  • practice factoring and related concepts
  • be introduced to percents and ratios
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Ray's for Today
Level 5 - Student Text
405 pages
Looseleaf Packet
3-Hole Punched
ISBN-10: 0-88062-301-2
ISBN-13: 978-0-88062-301-8

List Price: $49.99

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Ray's for Today
Level 5 - Instructor's Manual
344 pages
Looseleaf Packet
3-Hole Punched
ISBN-10: 0-88062-300-4
ISBN-13: 978-0-88062-300-1

List Price: $29.99

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Ray's for Today
Level 5 - Set
Instructor's Manual and Student Text
Looseleaf Packet
3-Hole Punched
ISBN-10: 0-88062-302-0
ISBN-13: 978-0-88062-302-5

List Price: $69.99

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  • The 2" Binder is for the Student Text
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Level 5 - Ages 10 and 11

Ray's for Today Scope & Sequence:

Number Concepts
  •  types of numbers: whole numbers, zero, rational numbers (fractions/decimals), percents, ratios

  •  Commutative, Identity, and Associative Properties for Addition and Multiplication
  •  review multiples of base ten system
  •  powers of ten
  •  naming and writing numbers to hundred million
  •  place values to hundred million
  •  comparing & ordering types of numbers covered; greater than, less than, equal to, not equal to

  •  Roman numerals
  •  rounding/estimating types of numbers
  •  decimal place values to thousandths
  •  multiples, factors, factor trees
  •  prime & composite numbers
  •  function tables
  •  ordered pairs & coordinate plane
Arithmetic Operations
  •  signs of operations & comparison
  •  adding, subtracting, multiplying, & dividing numbers to the billions
  •  multiplying and dividing by powers of 10 and multiples of 10
  •  multiplying by a multi-digit number
  •  long division, with and without a remainder
  •  greatest common factor (GCF)
  •  lowest common multiple (LCM)

  •  arithmetic operations with money
  •  money story problems
  •  profit/loss problems
  •  using a savings account register

  •  review elapsed time
  •  time zones
  •  using schedules
  •  converting hours and minutes

  •  review of customary measurements, abbreviations, and equivalencies review of customary measurements
  •  review of metric measurements, abbreviations, and equivalencies
  •  temperature comparisons: Fahrenheit and Centigrade
  •  unit conversions within customary measures
  •  unit conversions within metric measures
  •  adding & subtracting compound measures
Geometric Constructions
  •  review difference between plane and solid figures
  •  review components of plane geometry: point, line, segment, ray
  •  define a plane
  •  review plane geometry figures: rectangle, square, triangle, circle, polygons, rhombus, parallelogram, quadrilateral
  •  review closed & open figures
  •  review linear & curved figures
  •  intersecting and parallel lines
  •  diagonals
  •  review solid geometry figures: cube, triangular prism, rectangular solid, sphere
  •  types of triangles: equilateral, right, acute, obtuse, scalene; base of a triangle
  •  sum of the angles of triangle & quadrilaterals
  •  circle: center point, radius, diameter, chord, central angle, circumference
  •  review perimeter & area of a rectangle/square
  •  types of angles: right, straight, acute, obtuse
  •  protractor and measuring degrees of angles
  •  mechanical compass & drawing and bisecting lines and angles
  •  area of a triangle

  •  area of parallelogram & rhombus
  •  review transformations: slides, flips, turns
  •  review symmetry
  •  similarity
  •  congruence & corresponding parts
  •  review volume of cuboid and cube
  •  surface area and nets introduced
  •  review fraction and mixed numbers concepts
  •  review of fractions as division
  •  review fractional wholes
  •  review equivalent fractions and reducing fractions
  •  review adding and subtracting fractions and mixed numbers, including regrouping
  •  introduce multiplying fraction by whole number
  •  introduce multiplying two fractions
  •  introduce multiplying mixed numbers
  •  introduce dividing fractions
  •  introduce dividing whole number by a fraction
  •  reciprocals
  •  introduce dividing two fractions
  •  introduce dividing mixed numbers
  •  fraction story problems
  •  decimal place values through thousandths
  •  review expanding place values by powers of 10 in both directions
  •  review decimal concepts
  •  review ordering and comparing fractions
  •  review adding & subtracting decimals
  •  regrouping decimals
  •  introduce multiplication of decimals
  •  multiplying by powers of 10 and multiples of 10
  •  introduce dividing decimals
  •  dividing decimals by powers of 10 and multiples of 10
  •  decimal story problems
  •  defining percent of a number
  •  comparing fractions, decimals, and percents
  •  writing a percent as a fraction and decimal
  •  writing fractions and decimals as a percent
  •  percents in money transactions: list price, discounts, sale price, sales tax
  •  percents in other applications
  •  finding the percent of a number (three types of problems)

  •  definition of ratio
  •  writing and reading ratios
  •  identifying terms and whole
  •  ratios and fractions
  •  equivalent ratios
  •  using ratios
  •  scale drawings
  •  rates and unit rate
  •  ratio story problems
Graphing & Statistics
  •  review of data collection
  •  frequency, range, mode, median, mean

  •  review types of graphs: line, double-line, bar, double-bar, circle/pie graphs
  •  introduce histogram
  •  comparing types of graphs
  •  interpreting/reading graphs
  •  translating words into numbers and operation signs
  •  terms and expressions
  •  review problem-solving strategies
  •  fraction & decimal word problems
  •  money transactions
  •  work problems
  •  distance problems
  •  number puzzles
  •  equivalent values
  •  age problems
  •  profit/loss problems

  •  combining drawings to solve more complex problems
  •  math reasoning skills
  •  order of operations, including parentheses, fractions, and decimals