Foundations 11
Unit 1: Logic & Reasoning
Angles/Sides in triangles: https://www.geogebra.org/geometry/ndfwfk5v
Angles formed by two intersecting lines: https://www.geogebra.org/geometry/vjjjkqyu
Circle with tangent line: https://www.geogebra.org/geometry/mnzqdgm8
Deductive vs. Inductive logic: https://danielmiessler.com/blog/the-difference-between-deductive-and-inductive-reasoning/
Logic Games:
Minesweeper game: https://minesweeper.online/
CoolMath Logic Games: https://www.coolmathgames.com/1-logic-games
Unit 2: Angles
Polygons: Quadrilaterals https://www.mathsisfun.com/quadrilaterals.html
Polygons: Similar/Congruent https://www.mathsisfun.com/geometry/congruent.html
Using a Protractor: https://mathispower4u.wordpress.com/2010/05/10/animation-measuring-angles-using-a-protractor/
Intersecting Line Properties:
Supplementary Angles: https://www.mathsisfun.com/angle180.html
Vertically Opposite Angles: https://www.mathsisfun.com/definitions/vertically-opposite-angles.html
Parallel Lines Properties:
Transversal & Parallel Lines: https://www.mathopenref.com/transversal.html
Triangle Properties:
Triangle Interior Angles Property: https://www.mathsisfun.com/geometry/triangles-interactive.html
Triangle Exterior Angles Property: https://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATExteriorAngle.html
Polygon Properties:
Introduction to Polygons: https://www.mathsisfun.com/geometry/polygons.html and https://www.mathopenref.com/polygon.html
Interior Angles: https://www.mathsisfun.com/geometry/interior-angles-polygons.html
Exterior Angles: https://www.mathsisfun.com/geometry/exterior-angles-polygons.html
Explanation of rules: https://www.cliffsnotes.com/study-guides/geometry/polygons/angle-sum-of-polygons
Tessellations: https://www.mathsisfun.com/geometry/tessellation.html
Summary of Polygon properties: https://flexbooks.ck12.org/cbook/ck-12-interactive-geometry-for-ccss/section/1.3/primary/lesson/polygons-geo-ccss/
Geogebra Geometry App: https://www.geogebra.org/geometry
Practice Work:
Intro/2.1/2/2 Package & filled in version
2.3 Package & filled in version
2.4 & Review Package & filled in version
Unit 3: Statistics
Practice Work:
Intro (5.1)
What is Statistics? (Crash Course Video) https://www.youtube.com/watch?v=sxQaBpKfDRk
Review of Mean, Median, Mode (optional) https://ltcconline.net/greenl/courses/CAHSEE/StatisticsProb/CAHSEEMeanMedianMode.htm
Frequency Distributions (5.2)
Playing with Histograms: http://www.shodor.org/interactivate/activities/Histogram/
Variation and Standard Distribution (5.3)
Measures of Spread (Crash Course Video) https://www.youtube.com/watch?v=R4yfNi_8Kqw
Use Excel to calculate Standard Deviation: https://researchbasics.education.uconn.edu/calculatingmeanstandarddev/#
Use Excel to caclulate Standard Deviation of Grouped Data: https://itservices.cas.unt.edu/~allaart/3680/Excel-instructions.html
Excel Example for 5.3 Sample Spreadsheet
Notes: https://www.mathsisfun.com/data/standard-deviation.html
Normal Distribution (5.4)
Introduction to Normal Distribution: https://www.youtube.com/watch?v=mtbJbDwqWLE
Excel example for setting up your own spreadsheet (full version including instructions and z-scores): Example Spreadsheet #2 (full version)
Interactive graph of normal distribution: https://www.geogebra.org/m/fXww9z9S
Standard Normal Distribution: https://www.mathsisfun.com/data/standard-normal-distribution.html
Z-Scores (5.5)
Z-Score Interactive Animation: https://www.mathsisfun.com/data/standard-normal-distribution-table.html (select "Up to Z" on the top left)
Confidence Intervals (5.6)
Full explanation of confidence intervals: https://www.mathsisfun.com/data/confidence-interval.html
Normal distribution explainer: https://statisticsbyjim.com/basics/normal-distribution/
Project Links:
Project instructions: Project Instructions
Online tests: https://www.humanbenchmark.com/dashboard/reactiontime
Dice Roll Simulator: https://www.geogebra.org/m/UsoH4eNl
For calculating the 95% confidence interval, you can use the online calculator found here: https://www.mathsisfun.com/data/confidence-interval-calculator.html.
If you would like to do the calculation manually, see this link
Unit 4: Proportional Reasoning
Practice Work
Extra Practice
Resources
Scale and Area:
https://www.geogebra.org/classic/xjapuwrh (scale & area of rectangles) (move the slider)
Scale and Surface Area/Volume http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/
Scale and Volume: http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.SURF&lesson=html/object_interactives/surfaceArea/explore_it.html
Unit 5: Graphing
Online Graphing Tool (Desmos)
Quick video introduction to Desmos: https://www.youtube.com/watch?v=RKbZ3RoA-x4
Keyboard Shortcuts https://www.desmos.com/graphingshortcuts
Graphing Linear Equations Review: Worksheet
- Practice Work
Linear Functions: https://www.mathopenref.com/linearexplorermxb.html
First Desmos online activity:
you can choose if you'd like to create an account with Desmos, or just do the activity without an account.
creating an account allows you to resume an activity if you don't finish the entire activity during class
1st Desmos online activity: https://student.desmos.com/join/ueta2v (Systems of Linear Inequalities Introduction)
2nd Desmos online activityhttps://student.desmos.com/join/szwyv6 (Graphing Systems of Linear Inequalities)
3rd Desmos online activity: https://student.desmos.com/join/d6643a (Intro to Standard Form & Linear Inequalities)
Work Package: Systems of Linear Inequalities & Optimization Work
Desmos challenge activity: https://student.desmos.com/join/v8sadg (optional) (Point Collector: Lines)
Work Package: Second Linear Inequalities & Optimization Work
Explanations of Graphing Quadratic Equations:
Work Package: Intro to Quadratics package
Desmos Activity Online Quadratics activity (Match My Parabola)
hint: y = a(x - h)2+ k is the vertex form of a quadratic function
See how far you can make it through!
Stuck? https://www.mathopenref.com/quadvertexexplorer.html (vertex form)