New: Ratios and Rates
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2014 Math Standards 6 – 8 October 1, November 19, 2014 Sixth Grade
Day 1
Number Sense
New: Ratios and Rates
Student Challenges
o Negative integers
o Positive and negative relationships as opposites (2 opposite -2)
Teacher Challenges
o Ratio Models (all 3 ways)
o Ratios can be written as frations
Fluency
o Number lines, ordering numbers
o Fluency not used
Resources
o Dry Erase Charts ( . % / )
o Number Line
o Examples of problems (using test vocabulary)
Computation
New – Fluently divide using standard algorithm
o Multiplication lattice
o Division partial quotient
Student Challenges
o Remainders and how to express them for specific problems
Teacher Challenges
o Teaching standard algorithm
1 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Fluency
o Computing positive fractions
o Dividing / using standard algorithms
Resources
o IDOE Standard Resources Guide Websites
. Illustratedmathematics.org
. IXL
. BBC
Algebra/Functions
New
o Label 4 quadrants
o (+) independent and dependent variable
o Expression vs. Equation
o (Fluent) – Specific equations to solve
Student Challenges
o Inequalities
o Visuals/modeling inequalities
Teacher Challenges
o Resources?
Geometry/Measurement
New
o Composing/Decomposing
o Converting between measurement systems
Student Challenges
o Convert between American and metric systems
2 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Teacher Challenges
o Using nets
o Conversions
o Terminology (nets)
Fluency – none
Resources - Websites on IDOE reference guide
Data Analysis
New
o Displaying data using technology
o Have students form questions and display data
Student Challenges
o Display data on computers
Teacher Challenges
o Technology (Excel spreadsheets)
Fluency
o Formulate and organize data
Resources
o Computer charting and graphing
3 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Seventh Grade
Day 1
Number Sense
New
o Some standards are now in 6th grade
o 7.NS.2 moved from 8th grade
Student Challenges
o Need to know old 6th grade standards as well as new 7th grade standards
Teacher Challenges
o Time
o Creating multiple skill lessons
o Reinforcing skills throughout the year
o Resources correlate?
Fluency (Mastery of skill) – N/A
Computation
New
o More mathematically worded
. May be difficult
Student Challenges
o Conversions (7.C.6)
o Showing work (persistence)
o MUST know facts
Teacher Challenges
o TIME
o Student prerequisite knowledge (lack of)
4 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o Real world problems
Fluency
o 7.C.7: Compute with rational numbers
Resources –
Algebra/Functions
New
o Deeper dive into Slope
. Was more 8th grade
o More Unit/Rate
o More explanations, real world, & correlate deeper
Student Challenges
o Absorb and stay on task (persistence)
Challenge for Teachers
o How to keep students engaged – teach persistence
Fluency
o 7.AF.2: Solve equations fluently
Geometry/Measurement
New
o 5 out of 7 standards have “real world” in them
Student Challenges
o 7.GM.2
o 7.GM.3
o 7.GM.4
o 7.GM.5
5 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o Next year – students may not have skills/introduced in 6th grade due to it being new
Teacher Challenges
o TIME
o 7.GM.5: Area & Circumference
Fluency
o Area & Circumference
o Scale Drawings
o Angles (types)
Data Analysis
New
o 7.DSP.1 – 7.DSP.2 – 7.DSP.4
. From 8th grade
o Samples, observations, statistics, inferences
Student Challenges
o Using data to make inferences
o Best situation to use measures of central tendency (real world)
Teacher Challenges
o Wordiness of standards
6 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Eighth Grade
Day 1
Number Sense
Challenges
o NS.1 – repeating decimal converted to fraction
o Making sure mastery of previous years’ standards (foundations)
Computation
Student Challenges
o C.1 – real application of multiple operations with justification
o C.2 – Calculator policy?
o Computation with scientific calculator and scientific notation
Teacher Challenges
o Class sets of calculators
Where does scientific notation appear in the science classroom?
o Science/math work together
Algebra & Functions
Challenges
o AF.1 – Problem with fraction fluency and possibly distributive property
o AF.2 – Idea of “no solution” or “infinitely many solutions” when solving equivalent equations
o AF.3 – No exposure in previous years (independent/dependent variables)
o AF.4 – Vocab word - *qualitative
o AF.5 – Future years y=mx+b will be new
o AF.6 – Vocab words - *slope and y-intercept
o AF.7 – Comparing between a table, graph and equation (comparison of two different formats)
. *Teacher concern: time on test*
7 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o AF.8 – Substitution method removed
Geometry/Measurement
GM.1 – The effects of slicing/result of
o Writing directions vs. visual presentations
GM.3 – Prior knowledge
GM.4 – Prior knowledge
GM.5 – Describing a sequence of multiple transformations
GM.6 – Future years material will be brand new
GM.7 – State couldn’t even give an example!!! (+)
GM.9 – Have to plot points, use distance formula (not on formula/reference sheet) use Pythagorean Theorem
Data Analysis
DSP.1 – DSP.2 – DSP.3: New terminology – in future years new to pic
o Bivariate
o Extra0poltation
o Interpolation
o Association instead of correlation
o Clustering
DSP.6: Changing from fundamental to multiplication counting principal
Box and whiskers moved
8 | P a g e